115503383407104 has 800 divisors, whose sum is σ = 431976923136000. Its totient is φ = 29849956392960.

The previous prime is 115503383407099. The next prime is 115503383407169. The reversal of 115503383407104 is 401704383305511.

115503383407104 is a `hidden beast` number, since 1 + 1 + 5 + 503 + 3 + 8 + 34 + 0 + 7 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115503383407104.

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, 635384577 + ... + 635566335.

It is an arithmetic number, because the mean of its divisors is an integer number (539971153920).

Almost surely, 2^{115503383407104} is an apocalyptic number.

115503383407104 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 115503383407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215988461568000).

115503383407104 is an abundant number, since it is smaller than the sum of its proper divisors (316473539728896).

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

115503383407104 is a wasteful number, since it uses less digits than its factorization.

115503383407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182006 (or 181981 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 115503383407104 in words is "one hundred fifteen trillion, five hundred three billion, three hundred eighty-three million, four hundred seven thousand, one hundred four".