316280268920 has 384 divisors, whose sum is σ = 962980945920. Its totient is φ = 91246003200.

The previous prime is 316280268907. The next prime is 316280268971. The reversal of 316280268920 is 29862082613.

It is a super-3 number, since 3×316280268920³ (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24149894 + ... + 24162986.

It is an arithmetic number, because the mean of its divisors is an integer number (2507762880).

Almost surely, 2^316280268920 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 316280268920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481490472960).

316280268920 is an abundant number, since it is smaller than the sum of its proper divisors (646700677000).

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

316280268920 is a wasteful number, since it uses less digits than its factorization.

316280268920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13187 (or 13172 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 316280268920 in words is "three hundred sixteen billion, two hundred eighty million, two hundred sixty-eight thousand, nine hundred twenty".