112760968401 has 21 divisors (see below), whose sum is σ = 169077707851. Its totient is φ = 75167934552.

The previous prime is 112760968387. The next prime is 112760968421. The reversal of 112760968401 is 104869067211.

The square root of 112760968401 is 335799.

It is a perfect power (a square), and thus also a powerful number.

112760968401 is a `hidden beast` number, since 1 + 127 + 60 + 9 + 68 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4043052225 + 108717916176 = 63585^2 + 329724^2 .

It is not a de Polignac number, because 112760968401 - 2²¹ = 112758871249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112760968421) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9060355 + ... + 9072791.

Almost surely, 2^112760968401 is an apocalyptic number.

112760968401 is the 335799-th square number.

112760968401 is the 167900-th centered octagonal number.

It is an amenable number.

112760968401 is a deficient number, since it is larger than the sum of its proper divisors (56316739450).

112760968401 is an frugal number, since it uses more digits than its factorization.

112760968401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24892 (or 12440 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 112760968401 in words is "one hundred twelve billion, seven hundred sixty million, nine hundred sixty-eight thousand, four hundred one".