115263648000 has 792 divisors, whose sum is σ = 437762486616. Its totient is φ = 30233088000.

The previous prime is 115263647999. The next prime is 115263648023. The reversal of 115263648000 is 846362511.

It is a happy number.

115263648000 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 6 + 3 + 648 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27950489856 + 87313158144 = 167184^2 + 295488^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1889567970 + ... + 1889568030.

Almost surely, 2^115263648000 is an apocalyptic number.

115263648000 is a gapful number since it is divisible by the number (10) 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 115263648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218881243308).

115263648000 is an abundant number, since it is smaller than the sum of its proper divisors (322498838616).

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

115263648000 is an frugal number, since it uses more digits than its factorization.

115263648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 115263648000 in words is "one hundred fifteen billion, two hundred sixty-three million, six hundred forty-eight thousand".