172916454456 has 256 divisors, whose sum is σ = 521270016000. Its totient is φ = 52924700160.

The previous prime is 172916454449. The next prime is 172916454467. The reversal of 172916454456 is 654454619271.

172916454456 is a `hidden beast` number, since 1 + 7 + 2 + 91 + 6 + 4 + 544 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42059841 + ... + 42063951.

It is an arithmetic number, because the mean of its divisors is an integer number (2036211000).

Almost surely, 2^172916454456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172916454456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260635008000).

172916454456 is an abundant number, since it is smaller than the sum of its proper divisors (348353561544).

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

172916454456 is a wasteful number, since it uses less digits than its factorization.

172916454456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4449 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 172916454456 in words is "one hundred seventy-two billion, nine hundred sixteen million, four hundred fifty-four thousand, four hundred fifty-six".