46106515284480 has 3200 divisors, whose sum is σ = 200535589900800. Its totient is φ = 10113169489920.

The previous prime is 46106515284443. The next prime is 46106515284493. The reversal of 46106515284480 is 8448251560164.

46106515284480 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 6 + 5 + 152 + 8 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 282862056879 + ... + 282862057041.

It is an arithmetic number, because the mean of its divisors is an integer number (62667371844).

Almost surely, 2^{46106515284480} is an apocalyptic number.

46106515284480 is a gapful number since it is divisible by the number (40) 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 46106515284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100267794950400).

46106515284480 is an abundant number, since it is smaller than the sum of its proper divisors (154429074616320).

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

46106515284480 is an equidigital number, since it uses as much as digits as its factorization.

46106515284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 46106515284480 in words is "forty-six trillion, one hundred six billion, five hundred fifteen million, two hundred eighty-four thousand, four hundred eighty".