115005620664 has 128 divisors (see below), whose sum is σ = 349789824000. Its totient is φ = 34721395200.

The previous prime is 115005620603. The next prime is 115005620701. The reversal of 115005620664 is 466026500511.

115005620664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 554592 + ... + 733200.

It is an arithmetic number, because the mean of its divisors is an integer number (2732733000).

Almost surely, 2^115005620664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115005620664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174894912000).

115005620664 is an abundant number, since it is smaller than the sum of its proper divisors (234784203336).

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

115005620664 is a wasteful number, since it uses less digits than its factorization.

115005620664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178906 (or 178896 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 115005620664 in words is "one hundred fifteen billion, five million, six hundred twenty thousand, six hundred sixty-four".