318628034938080 has 4320 divisors, whose sum is σ = 1411878408228288. Its totient is φ = 67413605253120.

The previous prime is 318628034938009. The next prime is 318628034938097. The reversal of 318628034938080 is 80839430826813.

318628034938080 is a `hidden beast` number, since 3 + 1 + 8 + 6 + 280 + 349 + 3 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 318628034937999 and 318628034938017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 2325752079772 + ... + 2325752079908.

Almost surely, 2^{318628034938080} is an apocalyptic number.

318628034938080 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 318628034938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705939204114144).

318628034938080 is an abundant number, since it is smaller than the sum of its proper divisors (1093250373290208).

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

318628034938080 is a wasteful number, since it uses less digits than its factorization.

318628034938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 318628034938080 in words is "three hundred eighteen trillion, six hundred twenty-eight billion, thirty-four million, nine hundred thirty-eight thousand, eighty".