316226142535680 has 1224 divisors, whose sum is σ = 1200561313231800. Its totient is φ = 76954875199488.

The previous prime is 316226142535679. The next prime is 316226142535687. The reversal of 316226142535680 is 86535241622613.

316226142535680 is a `hidden beast` number, since 3 + 1 + 6 + 2 + 2 + 6 + 1 + 42 + 535 + 68 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 210111750733824 + 106114391801856 = 14495232^2 + 10301184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316226142535687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44357710356 + ... + 44357717484.

Almost surely, 2^{316226142535680} is an apocalyptic number.

316226142535680 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 316226142535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600280656615900).

316226142535680 is an abundant number, since it is smaller than the sum of its proper divisors (884335170696120).

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

316226142535680 is an equidigital number, since it uses as much as digits as its factorization.

316226142535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 316226142535680 in words is "three hundred sixteen trillion, two hundred twenty-six billion, one hundred forty-two million, five hundred thirty-five thousand, six hundred eighty".