115747660456128 has 448 divisors, whose sum is σ = 363008805949440. Its totient is φ = 36040262860800.

The previous prime is 115747660456123. The next prime is 115747660456139. The reversal of 115747660456128 is 821654066747511.

115747660456128 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 4 + 7 + 6 + 6 + 0 + 4 + 5 + 612 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (115747660456123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2168303998 + ... + 2168357378.

It is an arithmetic number, because the mean of its divisors is an integer number (810287513280).

Almost surely, 2^{115747660456128} is an apocalyptic number.

115747660456128 is a gapful number since it is divisible by the number (18) 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 115747660456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181504402974720).

115747660456128 is an abundant number, since it is smaller than the sum of its proper divisors (247261145493312).

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

115747660456128 is a wasteful number, since it uses less digits than its factorization.

115747660456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53973 (or 53957 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 115747660456128 in words is "one hundred fifteen trillion, seven hundred forty-seven billion, six hundred sixty million, four hundred fifty-six thousand, one hundred twenty-eight".