316872396828100 has 135 divisors (see below), whose sum is σ = 725960759663741. Its totient is φ = 120053609258400.

The previous prime is 316872396828079. The next prime is 316872396828161. The reversal of 316872396828100 is 1828693278613.

The square root of 316872396828100 is 17800910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 114074062858116 + 202798333969984 = 10680546^2 + 14240728^2 .

It is a super-2 number, since 2×316872396828100² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 64261282635 + ... + 64261287565.

Almost surely, 2^{316872396828100} is an apocalyptic number.

316872396828100 is the 17800910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316872396828100

316872396828100 is an abundant number, since it is smaller than the sum of its proper divisors (409088362835641).

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

316872396828100 is an frugal number, since it uses more digits than its factorization.

316872396828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9952 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

The spelling of 316872396828100 in words is "three hundred sixteen trillion, eight hundred seventy-two billion, three hundred ninety-six million, eight hundred twenty-eight thousand, one hundred".