115200495262944 has 288 divisors, whose sum is σ = 417105244221120. Its totient is φ = 29334873931776.

The previous prime is 115200495262873. The next prime is 115200495263011. The reversal of 115200495262944 is 449262594002511.

It is a happy number.

115200495262944 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 0 + 0 + 4 + 9 + 5 + 2 + 629 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75026577 + ... + 76546640.

It is an arithmetic number, because the mean of its divisors is an integer number (1448282097990).

Almost surely, 2^{115200495262944} is an apocalyptic number.

115200495262944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

115200495262944 is an abundant number, since it is smaller than the sum of its proper divisors (301904748958176).

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

115200495262944 is a wasteful number, since it uses less digits than its factorization.

115200495262944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151573282 (or 151573271 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 115200495262944 in words is "one hundred fifteen trillion, two hundred billion, four hundred ninety-five million, two hundred sixty-two thousand, nine hundred forty-four".