115828661664 has 192 divisors, whose sum is σ = 354075321600. Its totient is φ = 36768162816.

The previous prime is 115828661651. The next prime is 115828661677. The reversal of 115828661664 is 466166828511.

It is a happy number.

115828661664 is a `hidden beast` number, since 1 + 15 + 8 + 2 + 8 + 6 + 616 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (115828661651) and next prime (115828661677).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 115828661664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4537962 + ... + 4563414.

It is an arithmetic number, because the mean of its divisors is an integer number (1844142300).

Almost surely, 2^115828661664 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 115828661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177037660800).

115828661664 is an abundant number, since it is smaller than the sum of its proper divisors (238246659936).

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

115828661664 is a wasteful number, since it uses less digits than its factorization.

115828661664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25724 (or 25710 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 115828661664 in words is "one hundred fifteen billion, eight hundred twenty-eight million, six hundred sixty-one thousand, six hundred sixty-four".