112456459493401 has 27 divisors (see below), whose sum is σ = 119926104923671. Its totient is φ = 105430595830784.

The previous prime is 112456459493387. The next prime is 112456459493423. The reversal of 112456459493401 is 104394954654211.

The square root of 112456459493401 is 10604549.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4310187057801 + 108146272435600 = 2076099^2 + 10399340^2 .

It is not a de Polignac number, because 112456459493401 - 2²³ = 112456451104793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112456459463401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52821257505 + ... + 52821259633.

Almost surely, 2^{112456459493401} is an apocalyptic number.

112456459493401 is the 10604549-th square number.

112456459493401 is the 5302275-th centered octagonal number.

It is an amenable number.

112456459493401 is a deficient number, since it is larger than the sum of its proper divisors (7469645430270).

112456459493401 is an frugal number, since it uses more digits than its factorization.

112456459493401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 58.

The spelling of 112456459493401 in words is "one hundred twelve trillion, four hundred fifty-six billion, four hundred fifty-nine million, four hundred ninety-three thousand, four hundred one".