313048427839488 has 720 divisors, whose sum is σ = 1001957072643072. Its totient is φ = 93392732160000.

The previous prime is 313048427839421. The next prime is 313048427839493. The reversal of 313048427839488 is 884938724840313.

313048427839488 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 4 + 8 + 42 + 78 + 39 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27676453353 + ... + 27676464663.

Almost surely, 2^{313048427839488} 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 313048427839488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500978536321536).

313048427839488 is an abundant number, since it is smaller than the sum of its proper divisors (688908644803584).

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

313048427839488 is a wasteful number, since it uses less digits than its factorization.

313048427839488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11620 (or 11591 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 313048427839488 in words is "three hundred thirteen trillion, forty-eight billion, four hundred twenty-seven million, eight hundred thirty-nine thousand, four hundred eighty-eight".