318130649457920 has 576 divisors, whose sum is σ = 846014108756544. Its totient is φ = 113870257520640.

The previous prime is 318130649457919. The next prime is 318130649457983. The reversal of 318130649457920 is 29754946031813.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 297496815625216 + 20633833832704 = 17248096^2 + 4542448^2 .

It is a super-2 number, since 2×318130649457920² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88541787644 + ... + 88541791236.

It is an arithmetic number, because the mean of its divisors is an integer number (1468774494369).

It is a 1-persistent number, because it is pandigital, but 2⋅318130649457920 = 636261298915840 is not.

Almost surely, 2^{318130649457920} 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 318130649457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423007054378272).

318130649457920 is an abundant number, since it is smaller than the sum of its proper divisors (527883459298624).

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

318130649457920 is a wasteful number, since it uses less digits than its factorization.

318130649457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 62.

The spelling of 318130649457920 in words is "three hundred eighteen trillion, one hundred thirty billion, six hundred forty-nine million, four hundred fifty-seven thousand, nine hundred twenty".