316764117072 has 300 divisors, whose sum is σ = 1005377229120. Its totient is φ = 96226880256.

The previous prime is 316764117071. The next prime is 316764117073. The reversal of 316764117072 is 270711467613.

316764117072 is a `hidden beast` number, since 3 + 167 + 6 + 411 + 7 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (316764117071) and next prime (316764117073).

It is a super-3 number, since 3×316764117072³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316764117071) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17293743 + ... + 17312049.

Almost surely, 2^316764117072 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 316764117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502688614560).

316764117072 is an abundant number, since it is smaller than the sum of its proper divisors (688613112048).

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

316764117072 is a wasteful number, since it uses less digits than its factorization.

316764117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18432 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 316764117072 in words is "three hundred sixteen billion, seven hundred sixty-four million, one hundred seventeen thousand, seventy-two".