46104694272 has 720 divisors, whose sum is σ = 169377127920. Its totient is φ = 11965169664.

The previous prime is 46104694253. The next prime is 46104694277. The reversal of 46104694272 is 27249640164.

46104694272 is a `hidden beast` number, since 4 + 610 + 4 + 6 + 9 + 4 + 27 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46104694277) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 331688379 + ... + 331688517.

It is an arithmetic number, because the mean of its divisors is an integer number (235246011).

Almost surely, 2^46104694272 is an apocalyptic number.

46104694272 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 46104694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84688563960).

46104694272 is an abundant number, since it is smaller than the sum of its proper divisors (123272433648).

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

46104694272 is a wasteful number, since it uses less digits than its factorization.

46104694272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46104694272 in words is "forty-six billion, one hundred four million, six hundred ninety-four thousand, two hundred seventy-two".