115644735360 has 864 divisors, whose sum is σ = 509403028680. Its totient is φ = 23905566720.

The previous prime is 115644735359. The next prime is 115644735377. The reversal of 115644735360 is 63537446511.

115644735360 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 44 + 73 + 536 + 0 = 666.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 599195424 + ... + 599195616.

Almost surely, 2^115644735360 is an apocalyptic number.

115644735360 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 115644735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254701514340).

115644735360 is an abundant number, since it is smaller than the sum of its proper divisors (393758293320).

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

115644735360 is a wasteful number, since it uses less digits than its factorization.

115644735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 115644735360 in words is "one hundred fifteen billion, six hundred forty-four million, seven hundred thirty-five thousand, three hundred sixty".