172406468256 has 192 divisors, whose sum is σ = 513315532800. Its totient is φ = 50194022400.

The previous prime is 172406468239. The next prime is 172406468257. The reversal of 172406468256 is 652864604271.

It is a junction number, because it is equal to n+sod(n) for n = 172406468199 and 172406468208.

It is not an unprimeable number, because it can be changed into a prime (172406468257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4531360 + ... + 4569248.

It is an arithmetic number, because the mean of its divisors is an integer number (2673518400).

Almost surely, 2^172406468256 is an apocalyptic number.

172406468256 is a gapful number since it is divisible by the number (16) 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 172406468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256657766400).

172406468256 is an abundant number, since it is smaller than the sum of its proper divisors (340909064544).

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

172406468256 is a wasteful number, since it uses less digits than its factorization.

172406468256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38083 (or 38075 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 172406468256 in words is "one hundred seventy-two billion, four hundred six million, four hundred sixty-eight thousand, two hundred fifty-six".