110916973764 has 81 divisors (see below), whose sum is σ = 286708544941. Its totient is φ = 36155039520.

The previous prime is 110916973751. The next prime is 110916973781. The reversal of 110916973764 is 467379619011.

The square root of 110916973764 is 333042.

It is a perfect power (a square), and thus also a powerful number.

110916973764 is a `hidden beast` number, since 1 + 109 + 169 + 7 + 376 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101723999364 + 9192974400 = 318942^2 + 95880^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110916973764.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93917254 + ... + 93918434.

Almost surely, 2^110916973764 is an apocalyptic number.

110916973764 is the 333042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110916973764

110916973764 is an abundant number, since it is smaller than the sum of its proper divisors (175791571177).

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

110916973764 is an equidigital number, since it uses as much as digits as its factorization.

110916973764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 110916973764 in words is "one hundred ten billion, nine hundred sixteen million, nine hundred seventy-three thousand, seven hundred sixty-four".