115468197062400 has 7776 divisors, whose sum is σ = 583750937548800. Its totient is φ = 22172722790400.

The previous prime is 115468197062363. The next prime is 115468197062411. The reversal of 115468197062400 is 4260791864511.

115468197062400 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 6 + 8 + 1 + 9 + 7 + 0 + 624 + 0 + 0 = 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 863 ways as a sum of consecutive naturals, for example, 842833555132 + ... + 842833555268.

Almost surely, 2^{115468197062400} is an apocalyptic number.

115468197062400 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 115468197062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291875468774400).

115468197062400 is an abundant number, since it is smaller than the sum of its proper divisors (468282740486400).

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

115468197062400 is a wasteful number, since it uses less digits than its factorization.

115468197062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 115468197062400 in words is "one hundred fifteen trillion, four hundred sixty-eight billion, one hundred ninety-seven million, sixty-two thousand, four hundred".