115034932224 has 99 divisors (see below), whose sum is σ = 332254913653. Its totient is φ = 38334124032.

The previous prime is 115034932217. The next prime is 115034932249. The reversal of 115034932224 is 422239430511.

The square root of 115034932224 is 339168.

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

115034932224 is a `hidden beast` number, since 11 + 50 + 349 + 32 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94077158400 + 20957773824 = 306720^2 + 144768^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32558362 + ... + 32561894.

Almost surely, 2^115034932224 is an apocalyptic number.

115034932224 is the 339168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115034932224

115034932224 is an abundant number, since it is smaller than the sum of its proper divisors (217219981429).

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

115034932224 is an frugal number, since it uses more digits than its factorization.

115034932224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 115034932224 by its sum of digits (36), we get a square (4141257560064 = 2035008²).

115034932224 divided by its sum of digits (36) gives a square (3195414784 = 56528²).

The spelling of 115034932224 in words is "one hundred fifteen billion, thirty-four million, nine hundred thirty-two thousand, two hundred twenty-four".