115431005201504 has 192 divisors, whose sum is σ = 236602840320000. Its totient is φ = 55403797063680.

The previous prime is 115431005201497. The next prime is 115431005201507. The reversal of 115431005201504 is 405102500134511.

115431005201504 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115431005201507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8764020839 + ... + 8764034009.

It is an arithmetic number, because the mean of its divisors is an integer number (1232306460000).

Almost surely, 2^{115431005201504} 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 115431005201504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118301420160000).

115431005201504 is an abundant number, since it is smaller than the sum of its proper divisors (121171835118496).

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

115431005201504 is a wasteful number, since it uses less digits than its factorization.

115431005201504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13901 (or 13893 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 115431005201504 in words is "one hundred fifteen trillion, four hundred thirty-one billion, five million, two hundred one thousand, five hundred four".