112484075434201 has 15 divisors (see below), whose sum is σ = 116510596969753. Its totient is φ = 108596702261320.

The previous prime is 112484075434193. The next prime is 112484075434207. The reversal of 112484075434201 is 102434570484211.

The square root of 112484075434201 is 10605851.

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

It can be written as a sum of positive squares in 2 ways, for example, as 267341736601 + 112216733697600 = 517051^2 + 10593240^2 .

It is not a de Polignac number, because 112484075434201 - 2³ = 112484075434193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112484075434207) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8919514386 + ... + 8919526996.

Almost surely, 2^{112484075434201} is an apocalyptic number.

112484075434201 is the 10605851-st square number.

112484075434201 is the 5302926-th centered octagonal number.

It is an amenable number.

112484075434201 is a deficient number, since it is larger than the sum of its proper divisors (4026521535552).

112484075434201 is an frugal number, since it uses more digits than its factorization.

112484075434201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25338 (or 12640 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 112484075434201 in words is "one hundred twelve trillion, four hundred eighty-four billion, seventy-five million, four hundred thirty-four thousand, two hundred one".