316616048640 has 512 divisors, whose sum is σ = 1185292224000. Its totient is φ = 79965978624.

The previous prime is 316616048627. The next prime is 316616048641. The reversal of 316616048640 is 46840616613.

316616048640 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 160 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316616048641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84048037 + ... + 84051803.

It is an arithmetic number, because the mean of its divisors is an integer number (2315023875).

Almost surely, 2^316616048640 is an apocalyptic number.

316616048640 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 316616048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592646112000).

316616048640 is an abundant number, since it is smaller than the sum of its proper divisors (868676175360).

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

316616048640 is an equidigital number, since it uses as much as digits as its factorization.

316616048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 316616048640 in words is "three hundred sixteen billion, six hundred sixteen million, forty-eight thousand, six hundred forty".