316494156819456 has 2816 divisors, whose sum is σ = 1288603072512000. Its totient is φ = 75171550003200.

The previous prime is 316494156819419. The next prime is 316494156819473. The reversal of 316494156819456 is 654918651494613.

316494156819456 is a `hidden beast` number, since 3 + 1 + 6 + 4 + 9 + 4 + 1 + 568 + 1 + 9 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 95014755711 + ... + 95014759041.

Almost surely, 2^{316494156819456} is an apocalyptic number.

316494156819456 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 316494156819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644301536256000).

316494156819456 is an abundant number, since it is smaller than the sum of its proper divisors (972108915692544).

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

316494156819456 is a wasteful number, since it uses less digits than its factorization.

316494156819456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3402 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 316494156819456 in words is "three hundred sixteen trillion, four hundred ninety-four billion, one hundred fifty-six million, eight hundred nineteen thousand, four hundred fifty-six".