115644564000 has 1536 divisors, whose sum is σ = 517786214400. Its totient is φ = 24485068800.

The previous prime is 115644563963. The next prime is 115644564031. The reversal of 115644564000 is 465446511.

115644564000 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 4 + 4 + 5 + 640 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1192211952 + ... + 1192212048.

It is an arithmetic number, because the mean of its divisors is an integer number (337100400).

Almost surely, 2^115644564000 is an apocalyptic number.

115644564000 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 115644564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258893107200).

115644564000 is an abundant number, since it is smaller than the sum of its proper divisors (402141650400).

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

115644564000 is a wasteful number, since it uses less digits than its factorization.

115644564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 115644564000 in words is "one hundred fifteen billion, six hundred forty-four million, five hundred sixty-four thousand".