115248769272 has 640 divisors, whose sum is σ = 413193432960. Its totient is φ = 29202923520.

The previous prime is 115248769249. The next prime is 115248769327. The reversal of 115248769272 is 272967842511.

115248769272 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 487 + 6 + 92 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 176490898 + ... + 176491550.

It is an arithmetic number, because the mean of its divisors is an integer number (645614739).

Almost surely, 2^115248769272 is an apocalyptic number.

115248769272 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 115248769272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206596716480).

115248769272 is an abundant number, since it is smaller than the sum of its proper divisors (297944663688).

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

115248769272 is a wasteful number, since it uses less digits than its factorization.

115248769272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 115248769272 in words is "one hundred fifteen billion, two hundred forty-eight million, seven hundred sixty-nine thousand, two hundred seventy-two".