313049038848 has 960 divisors, whose sum is σ = 1141486940160. Its totient is φ = 73912025088.

The previous prime is 313049038837. The next prime is 313049038873. The reversal of 313049038848 is 848830940313.

It is a super-2 number, since 2×313049038848² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 313049038848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1748877223 + ... + 1748877401.

It is an arithmetic number, because the mean of its divisors is an integer number (1189048896).

Almost surely, 2^313049038848 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 313049038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570743470080).

313049038848 is an abundant number, since it is smaller than the sum of its proper divisors (828437901312).

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

313049038848 is a wasteful number, since it uses less digits than its factorization.

313049038848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 313049038848 in words is "three hundred thirteen billion, forty-nine million, thirty-eight thousand, eight hundred forty-eight".