115507365514464 has 384 divisors, whose sum is σ = 383135648071680. Its totient is φ = 29596883097600.

The previous prime is 115507365514459. The next prime is 115507365514511. The reversal of 115507365514464 is 464415563705511.

115507365514464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 689582467 + ... + 689749949.

It is an arithmetic number, because the mean of its divisors is an integer number (997749083520).

Almost surely, 2^{115507365514464} is an apocalyptic number.

115507365514464 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 115507365514464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191567824035840).

115507365514464 is an abundant number, since it is smaller than the sum of its proper divisors (267628282557216).

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

115507365514464 is a wasteful number, since it uses less digits than its factorization.

115507365514464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168774 (or 168766 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 57.

The spelling of 115507365514464 in words is "one hundred fifteen trillion, five hundred seven billion, three hundred sixty-five million, five hundred fourteen thousand, four hundred sixty-four".