115415352144432 has 400 divisors, whose sum is σ = 355794608268000. Its totient is φ = 36015456964608.

The previous prime is 115415352144419. The next prime is 115415352144467. The reversal of 115415352144432 is 234441253514511.

115415352144432 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 1 + 53 + 521 + 4 + 44 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3797916694 + ... + 3797947082.

It is an arithmetic number, because the mean of its divisors is an integer number (889486520670).

Almost surely, 2^{115415352144432} is an apocalyptic number.

115415352144432 is a gapful number since it is divisible by the number (12) 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 115415352144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177897304134000).

115415352144432 is an abundant number, since it is smaller than the sum of its proper divisors (240379256123568).

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

115415352144432 is a wasteful number, since it uses less digits than its factorization.

115415352144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32250 (or 32235 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 115415352144432 in words is "one hundred fifteen trillion, four hundred fifteen billion, three hundred fifty-two million, one hundred forty-four thousand, four hundred thirty-two".