46144254912 has 672 divisors, whose sum is σ = 159714809856. Its totient is φ = 11663769600.

The previous prime is 46144254883. The next prime is 46144254931. The reversal of 46144254912 is 21945244164.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×46144254912² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 203278543 + ... + 203278769.

It is an arithmetic number, because the mean of its divisors is an integer number (237670848).

Almost surely, 2^46144254912 is an apocalyptic number.

46144254912 is a gapful number since it is divisible by the number (42) 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 46144254912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79857404928).

46144254912 is an abundant number, since it is smaller than the sum of its proper divisors (113570554944).

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

46144254912 is a wasteful number, since it uses less digits than its factorization.

46144254912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 46144254912 in words is "forty-six billion, one hundred forty-four million, two hundred fifty-four thousand, nine hundred twelve".