318914275680 has 2880 divisors, whose sum is σ = 1594193965056. Its totient is φ = 58226688000.

The previous prime is 318914275661. The next prime is 318914275697. The reversal of 318914275680 is 86572419813.

318914275680 is a `hidden beast` number, since 3 + 1 + 8 + 91 + 427 + 56 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5228102850 + ... + 5228102910.

It is a 1-persistent number, because it is pandigital, but 2⋅318914275680 = 637828551360 is not.

Almost surely, 2^318914275680 is an apocalyptic number.

318914275680 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 318914275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797096982528).

318914275680 is an abundant number, since it is smaller than the sum of its proper divisors (1275279689376).

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

318914275680 is a wasteful number, since it uses less digits than its factorization.

318914275680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 318914275680 in words is "three hundred eighteen billion, nine hundred fourteen million, two hundred seventy-five thousand, six hundred eighty".