115019313864 has 576 divisors, whose sum is σ = 390686846400. Its totient is φ = 28017819648.

The previous prime is 115019313863. The next prime is 115019313869. The reversal of 115019313864 is 468313910511.

It is a super-2 number, since 2×115019313864² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115019313863) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 199339944 + ... + 199340520.

It is an arithmetic number, because the mean of its divisors is an integer number (678275775).

Almost surely, 2^115019313864 is an apocalyptic number.

115019313864 is a gapful number since it is divisible by the number (14) 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 115019313864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195343423200).

115019313864 is an abundant number, since it is smaller than the sum of its proper divisors (275667532536).

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

115019313864 is a wasteful number, since it uses less digits than its factorization.

115019313864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 115019313864 in words is "one hundred fifteen billion, nineteen million, three hundred thirteen thousand, eight hundred sixty-four".