316638613000 has 128 divisors (see below), whose sum is σ = 763410342240. Its totient is φ = 122849280000.

The previous prime is 316638612977. The next prime is 316638613001. The reversal of 316638613000 is 316836613.

It can be written as a sum of positive squares in 16 ways, for example, as 4959821476 + 311678791524 = 70426^2 + 558282^2 .

It is a super-2 number, since 2×316638613000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (316638613001) 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, 7070680 + ... + 7115320.

Almost surely, 2^316638613000 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 316638613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381705171120).

316638613000 is an abundant number, since it is smaller than the sum of its proper divisors (446771729240).

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

316638613000 is a wasteful number, since it uses less digits than its factorization.

316638613000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44876 (or 44862 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 316638613000 in words is "three hundred sixteen billion, six hundred thirty-eight million, six hundred thirteen thousand".