113184472041 has 45 divisors (see below), whose sum is σ = 175245314101. Its totient is φ = 72797852736.

The previous prime is 113184472033. The next prime is 113184472103. The reversal of 113184472041 is 140274481311.

The square root of 113184472041 is 336429.

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

113184472041 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 8 + 447 + 204 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14072839641 + 99111632400 = 118629^2 + 314820^2 .

It is not a de Polignac number, because 113184472041 - 2³ = 113184472033 is a prime.

It is a super-2 number, since 2×113184472041² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113184471987 and 113184472005.

It is not an unprimeable number, because it can be changed into a prime (113184482041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 87807325 + ... + 87808613.

Almost surely, 2^113184472041 is an apocalyptic number.

113184472041 is the 336429-th square number.

113184472041 is the 168215-th centered octagonal number.

It is an amenable number.

113184472041 is a deficient number, since it is larger than the sum of its proper divisors (62060842060).

113184472041 is an frugal number, since it uses more digits than its factorization.

113184472041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 113184472041 by its sum of digits (36), we get a square (4074640993476 = 2018574²).

It can be divided in two parts, 113184 and 472041, that added together give a square (585225 = 765²).

The spelling of 113184472041 in words is "one hundred thirteen billion, one hundred eighty-four million, four hundred seventy-two thousand, forty-one".