46587327712128 has 384 divisors, whose sum is σ = 154468067819520. Its totient is φ = 13201548853248.

The previous prime is 46587327712099. The next prime is 46587327712153. The reversal of 46587327712128 is 82121772378564.

46587327712128 is a `hidden beast` number, since 4 + 6 + 587 + 3 + 2 + 7 + 7 + 1 + 21 + 28 = 666.

46587327712128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×46587327712128³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4431396600 + ... + 4431407112.

It is an arithmetic number, because the mean of its divisors is an integer number (402260593280).

Almost surely, 2^{46587327712128} is an apocalyptic number.

46587327712128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46587327712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77234033909760).

46587327712128 is an abundant number, since it is smaller than the sum of its proper divisors (107880740107392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46587327712128 is a wasteful number, since it uses less digits than its factorization.

46587327712128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14994 (or 14979 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 46587327712128 in words is "forty-six trillion, five hundred eighty-seven billion, three hundred twenty-seven million, seven hundred twelve thousand, one hundred twenty-eight".