115388517816 has 256 divisors, whose sum is σ = 380225664000. Its totient is φ = 31962263040.

The previous prime is 115388517799. The next prime is 115388517833. The reversal of 115388517816 is 618715883511.

115388517816 is a `hidden beast` number, since 1 + 1 + 538 + 85 + 17 + 8 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (115388517799) and next prime (115388517833).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3163330 + ... + 3199598.

It is an arithmetic number, because the mean of its divisors is an integer number (1485256500).

Almost surely, 2^115388517816 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 115388517816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190112832000).

115388517816 is an abundant number, since it is smaller than the sum of its proper divisors (264837146184).

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

115388517816 is a wasteful number, since it uses less digits than its factorization.

115388517816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36411 (or 36401 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 54.

The spelling of 115388517816 in words is "one hundred fifteen billion, three hundred eighty-eight million, five hundred seventeen thousand, eight hundred sixteen".