318611880972 has 576 divisors, whose sum is σ = 1095593361408. Its totient is φ = 78545376000.

The previous prime is 318611880949. The next prime is 318611881019. The reversal of 318611880972 is 279088116813.

318611880972 is a `hidden beast` number, since 3 + 18 + 611 + 8 + 8 + 0 + 9 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122967397 + ... + 122969987.

It is an arithmetic number, because the mean of its divisors is an integer number (1902071808).

Almost surely, 2^318611880972 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 318611880972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547796680704).

318611880972 is an abundant number, since it is smaller than the sum of its proper divisors (776981480436).

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

318611880972 is a wasteful number, since it uses less digits than its factorization.

318611880972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 318611880972 in words is "three hundred eighteen billion, six hundred eleven million, eight hundred eighty thousand, nine hundred seventy-two".