46172639075904 has 280 divisors, whose sum is σ = 151415921232576. Its totient is φ = 13794641280000.

The previous prime is 46172639075903. The next prime is 46172639075929. The reversal of 46172639075904 is 40957093627164.

46172639075904 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 2 + 6 + 39 + 0 + 7 + 590 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (46172639075903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1653447 + ... + 9750854.

Almost surely, 2^{46172639075904} is an apocalyptic number.

46172639075904 is a gapful number since it is divisible by the number (44) 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 46172639075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75707960616288).

46172639075904 is an abundant number, since it is smaller than the sum of its proper divisors (105243282156672).

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

46172639075904 is a wasteful number, since it uses less digits than its factorization.

46172639075904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11404407 (or 11404388 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 46172639075904 in words is "forty-six trillion, one hundred seventy-two billion, six hundred thirty-nine million, seventy-five thousand, nine hundred four".