115656444 has 48 divisors (see below), whose sum is σ = 304093440. Its totient is φ = 38006640.

The previous prime is 115656391. The next prime is 115656467. The reversal of 115656444 is 444656511.

115656444 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 5 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115656399 and 115656408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127 + ... + 15209.

It is an arithmetic number, because the mean of its divisors is an integer number (6335280).

Almost surely, 2^115656444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115656444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152046720).

115656444 is an abundant number, since it is smaller than the sum of its proper divisors (188436996).

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

115656444 is a wasteful number, since it uses less digits than its factorization.

115656444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15167 (or 15159 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 115656444 is about 10754.3686007129. The cubic root of 115656444 is about 487.2179480879.

It can be divided in two parts, 1156 and 56444, that added together give a square (57600 = 240²).

The spelling of 115656444 in words is "one hundred fifteen million, six hundred fifty-six thousand, four hundred forty-four".