313115143749408 has 2304 divisors, whose sum is σ = 1268219058462720. Its totient is φ = 72576580608000.

The previous prime is 313115143749383. The next prime is 313115143749673. The reversal of 313115143749408 is 804947341511313.

313115143749408 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 5 + 143 + 7 + 494 + 0 + 8 = 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 383 ways as a sum of consecutive naturals, for example, 164710753258 + ... + 164710755158.

It is an arithmetic number, because the mean of its divisors is an integer number (550442299680).

Almost surely, 2^{313115143749408} 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 313115143749408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634109529231360).

313115143749408 is an abundant number, since it is smaller than the sum of its proper divisors (955103914713312).

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

313115143749408 is a wasteful number, since it uses less digits than its factorization.

313115143749408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 313115143749408 in words is "three hundred thirteen trillion, one hundred fifteen billion, one hundred forty-three million, seven hundred forty-nine thousand, four hundred eight".