311814810048 has 672 divisors, whose sum is σ = 1040748134400. Its totient is φ = 81894758400.

The previous prime is 311814810037. The next prime is 311814810053. The reversal of 311814810048 is 840018418113.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 311814809988 and 311814810015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002619813 + ... + 1002620123.

Almost surely, 2^311814810048 is an apocalyptic number.

311814810048 is a gapful number since it is divisible by the number (38) 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 311814810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520374067200).

311814810048 is an abundant number, since it is smaller than the sum of its proper divisors (728933324352).

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

311814810048 is a wasteful number, since it uses less digits than its factorization.

311814810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 311814810048 in words is "three hundred eleven billion, eight hundred fourteen million, eight hundred ten thousand, forty-eight".