318688130640 has 320 divisors, whose sum is σ = 1155006646272. Its totient is φ = 71900928000.

The previous prime is 318688130639. The next prime is 318688130647. The reversal of 318688130640 is 46031886813.

It is a super-2 number, since 2×318688130640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 318688130640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318688130647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2175715 + ... + 2317565.

Almost surely, 2^318688130640 is an apocalyptic number.

318688130640 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 318688130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577503323136).

318688130640 is an abundant number, since it is smaller than the sum of its proper divisors (836318515632).

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

318688130640 is a wasteful number, since it uses less digits than its factorization.

318688130640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141938 (or 141932 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 318688130640 in words is "three hundred eighteen billion, six hundred eighty-eight million, one hundred thirty thousand, six hundred forty".