115023946752 has 704 divisors, whose sum is σ = 409373798400. Its totient is φ = 31439093760.

The previous prime is 115023946717. The next prime is 115023946757. The reversal of 115023946752 is 257649320511.

115023946752 is a `hidden beast` number, since 1 + 1 + 502 + 3 + 94 + 6 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a junction number, because it is equal to n+sod(n) for n = 115023946698 and 115023946707.

It is not an unprimeable number, because it can be changed into a prime (115023946757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185821899 + ... + 185822517.

Almost surely, 2^115023946752 is an apocalyptic number.

115023946752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115023946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204686899200).

115023946752 is an abundant number, since it is smaller than the sum of its proper divisors (294349851648).

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

115023946752 is a wasteful number, since it uses less digits than its factorization.

115023946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 115023946752 in words is "one hundred fifteen billion, twenty-three million, nine hundred forty-six thousand, seven hundred fifty-two".