111856133601 has 27 divisors (see below), whose sum is σ = 167816319411. Its totient is φ = 74552695488.

The previous prime is 111856133593. The next prime is 111856133603. The reversal of 111856133601 is 106331658111.

The square root of 111856133601 is 334449.

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

111856133601 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 5 + 613 + 36 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61877060001 + 49979073600 = 248751^2 + 223560^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 111856133601 - 2³ = 111856133593 is a prime.

It is a super-2 number, since 2×111856133601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111856133603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27088305 + ... + 27092433.

Almost surely, 2^111856133601 is an apocalyptic number.

111856133601 is the 334449-th square number.

111856133601 is the 167225-th centered octagonal number.

It is an amenable number.

111856133601 is a deficient number, since it is larger than the sum of its proper divisors (55960185810).

111856133601 is an frugal number, since it uses more digits than its factorization.

111856133601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 111856133601 by its sum of digits (36), we get a square (4026820809636 = 2006694²).

The spelling of 111856133601 in words is "one hundred eleven billion, eight hundred fifty-six million, one hundred thirty-three thousand, six hundred one".