115129141387416 has 320 divisors, whose sum is σ = 348392218759200. Its totient is φ = 35310299092992.

The previous prime is 115129141387339. The next prime is 115129141387417. The reversal of 115129141387416 is 614783141921511.

115129141387416 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 2 + 9 + 141 + 3 + 87 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115129141387417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12888066886 + ... + 12888075818.

Almost surely, 2^{115129141387416} 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 115129141387416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174196109379600).

115129141387416 is an abundant number, since it is smaller than the sum of its proper divisors (233263077371784).

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

115129141387416 is a wasteful number, since it uses less digits than its factorization.

115129141387416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13720 (or 13707 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 115129141387416 in words is "one hundred fifteen trillion, one hundred twenty-nine billion, one hundred forty-one million, three hundred eighty-seven thousand, four hundred sixteen".