316105042268160 has 1664 divisors, whose sum is σ = 1217981873848320. Its totient is φ = 77545340928000.

The previous prime is 316105042268159. The next prime is 316105042268161. The reversal of 316105042268160 is 61862240501613.

316105042268160 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 0 + 5 + 0 + 422 + 68 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (316105042268159) and next prime (316105042268161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (316105042268161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65841497760 + ... + 65841502560.

Almost surely, 2^{316105042268160} is an apocalyptic number.

316105042268160 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 316105042268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608990936924160).

316105042268160 is an abundant number, since it is smaller than the sum of its proper divisors (901876831580160).

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

316105042268160 is a wasteful number, since it uses less digits than its factorization.

316105042268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 316105042268160 its reverse (61862240501613), we get a palindrome (377967282769773).

The spelling of 316105042268160 in words is "three hundred sixteen trillion, one hundred five billion, forty-two million, two hundred sixty-eight thousand, one hundred sixty".