311918445699840 has 864 divisors, whose sum is σ = 1280238164115456. Its totient is φ = 71229871964160.

The previous prime is 311918445699827. The next prime is 311918445699877. The reversal of 311918445699840 is 48996544819113.

311918445699840 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 1 + 8 + 4 + 456 + 99 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2379701505 + ... + 2379832575.

Almost surely, 2^{311918445699840} is an apocalyptic number.

311918445699840 is a gapful number since it is divisible by the number (30) 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 311918445699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640119082057728).

311918445699840 is an abundant number, since it is smaller than the sum of its proper divisors (968319718415616).

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

311918445699840 is a wasteful number, since it uses less digits than its factorization.

311918445699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132207 (or 132181 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 311918445699840 in words is "three hundred eleven trillion, nine hundred eighteen billion, four hundred forty-five million, six hundred ninety-nine thousand, eight hundred forty".