113115328131744 has 384 divisors, whose sum is σ = 337053627187200. Its totient is φ = 36896413731840.

The previous prime is 113115328131739. The next prime is 113115328131791. The reversal of 113115328131744 is 447131823511311.

113115328131744 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 5 + 328 + 1 + 317 + 4 + 4 = 666.

It is a super-2 number, since 2×113115328131744² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113115328131744.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22097150817 + ... + 22097155935.

It is an arithmetic number, because the mean of its divisors is an integer number (877743820800).

Almost surely, 2^{113115328131744} 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 113115328131744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168526813593600).

113115328131744 is an abundant number, since it is smaller than the sum of its proper divisors (223938299055456).

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

113115328131744 is a wasteful number, since it uses less digits than its factorization.

113115328131744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273 (or 7259 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 113115328131744 in words is "one hundred thirteen trillion, one hundred fifteen billion, three hundred twenty-eight million, one hundred thirty-one thousand, seven hundred forty-four".