316625448960 has 1040 divisors, whose sum is σ = 1205698424832. Its totient is φ = 79360819200.

The previous prime is 316625448907. The next prime is 316625448977. The reversal of 316625448960 is 69844526613.

316625448960 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 2 + 544 + 8 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 316625448897 and 316625448906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2416988095 + ... + 2416988225.

Almost surely, 2^316625448960 is an apocalyptic number.

316625448960 is a gapful number since it is divisible by the number (30) 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 316625448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602849212416).

316625448960 is an abundant number, since it is smaller than the sum of its proper divisors (889072975872).

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

316625448960 is a wasteful number, since it uses less digits than its factorization.

316625448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 316625448960 in words is "three hundred sixteen billion, six hundred twenty-five million, four hundred forty-eight thousand, nine hundred sixty".