316616681472 has 720 divisors, whose sum is σ = 1074702021120. Its totient is φ = 82845794304.

The previous prime is 316616681417. The next prime is 316616681489. The reversal of 316616681472 is 274186616613.

It is a super-2 number, since 2×316616681472² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2493044673 + ... + 2493044799.

It is an arithmetic number, because the mean of its divisors is an integer number (1492641696).

Almost surely, 2^316616681472 is an apocalyptic number.

316616681472 is a gapful number since it is divisible by the number (32) 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 316616681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537351010560).

316616681472 is an abundant number, since it is smaller than the sum of its proper divisors (758085339648).

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

316616681472 is an equidigital number, since it uses as much as digits as its factorization.

316616681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 152 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 316616681472 in words is "three hundred sixteen billion, six hundred sixteen million, six hundred eighty-one thousand, four hundred seventy-two".