115651468800 has 720 divisors, whose sum is σ = 476319111840. Its totient is φ = 26250117120.

The previous prime is 115651468787. The next prime is 115651468831. The reversal of 115651468800 is 8864156511.

115651468800 is a `hidden beast` number, since 1 + 1 + 56 + 514 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139506786 + ... + 139507614.

It is an arithmetic number, because the mean of its divisors is an integer number (661554322).

Almost surely, 2^115651468800 is an apocalyptic number.

115651468800 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 115651468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238159555920).

115651468800 is an abundant number, since it is smaller than the sum of its proper divisors (360667643040).

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

115651468800 is a wasteful number, since it uses less digits than its factorization.

115651468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 115651468800 in words is "one hundred fifteen billion, six hundred fifty-one million, four hundred sixty-eight thousand, eight hundred".