311345335556400 has 120 divisors (see below), whose sum is σ = 997702046245584. Its totient is φ = 82995524403200.

The previous prime is 311345335556393. The next prime is 311345335556419. The reversal of 311345335556400 is 4655533543113.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 311345335556400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43382481 + ... + 50047280.

Almost surely, 2^{311345335556400} is an apocalyptic number.

311345335556400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311345335556400 is an abundant number, since it is smaller than the sum of its proper divisors (686356710689184).

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

311345335556400 is a wasteful number, since it uses less digits than its factorization.

311345335556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93432559 (or 93432548 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 48.

The spelling of 311345335556400 in words is "three hundred eleven trillion, three hundred forty-five billion, three hundred thirty-five million, five hundred fifty-six thousand, four hundred".