115313513432000 has 224 divisors, whose sum is σ = 311872725650304. Its totient is φ = 41977614336000.

The previous prime is 115313513431957. The next prime is 115313513432023. The reversal of 115313513432000 is 234315313511.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 424337 + ... + 15192336.

It is an arithmetic number, because the mean of its divisors is an integer number (1392288953796).

Almost surely, 2^{115313513432000} is an apocalyptic number.

115313513432000 is a gapful number since it is divisible by the number (10) 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 115313513432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155936362825152).

115313513432000 is an abundant number, since it is smaller than the sum of its proper divisors (196559212218304).

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

115313513432000 is a wasteful number, since it uses less digits than its factorization.

115313513432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15616784 (or 15616764 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 115313513432000 its reverse (234315313511), we get a palindrome (115547828745511).

The spelling of 115313513432000 in words is "one hundred fifteen trillion, three hundred thirteen billion, five hundred thirteen million, four hundred thirty-two thousand".