113406624081 has 9 divisors (see below), whose sum is σ = 163811027419. Its totient is φ = 75603742536.

The previous prime is 113406624043. The next prime is 113406624109. The reversal of 113406624081 is 180426604311.

The square root of 113406624081 is 336759.

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

113406624081 is a `hidden beast` number, since 1 + 1 + 3 + 406 + 6 + 240 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16115033025 + 97291591056 = 126945^2 + 311916^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 113406624081 - 2²³ = 113398235473 is a prime.

It is a super-2 number, since 2×113406624081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113406624481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 954151 + ... + 1066403.

Almost surely, 2^113406624081 is an apocalyptic number.

113406624081 is the 336759-th square number.

113406624081 is the 168380-th centered octagonal number.

It is an amenable number.

113406624081 is a deficient number, since it is larger than the sum of its proper divisors (50404403338).

113406624081 is an frugal number, since it uses more digits than its factorization.

113406624081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224512 (or 112256 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 113406624081 by its sum of digits (36), we get a square (4082638466916 = 2020554²).

The spelling of 113406624081 in words is "one hundred thirteen billion, four hundred six million, six hundred twenty-four thousand, eighty-one".