311348966547456 has 1008 divisors, whose sum is σ = 973830768168960. Its totient is φ = 95560087633920.

The previous prime is 311348966547419. The next prime is 311348966547461. The reversal of 311348966547456 is 654745669843113.

311348966547456 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 4 + 8 + 96 + 65 + 474 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1983114436530 + ... + 1983114436686.

Almost surely, 2^{311348966547456} is an apocalyptic number.

311348966547456 is a gapful number since it is divisible by the number (36) 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 311348966547456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486915384084480).

311348966547456 is an abundant number, since it is smaller than the sum of its proper divisors (662481801621504).

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

311348966547456 is a wasteful number, since it uses less digits than its factorization.

311348966547456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 379 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 311348966547456 in words is "three hundred eleven trillion, three hundred forty-eight billion, nine hundred sixty-six million, five hundred forty-seven thousand, four hundred fifty-six".