112896672001 has 9 divisors (see below), whose sum is σ = 113399199081. Its totient is φ = 112396366512.

The previous prime is 112896671869. The next prime is 112896672017. The reversal of 112896672001 is 100276698211.

The square root of 112896672001 is 336001.

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

It can be written as a sum of positive squares in 4 ways, for example, as 73549982401 + 39346689600 = 271201^2 + 198360^2 .

It is a de Polignac number, because none of the positive numbers 2^k-112896672001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112896672601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93071671 + ... + 93072883.

It is an arithmetic number, because the mean of its divisors is an integer number (12599911009).

Almost surely, 2^112896672001 is an apocalyptic number.

112896672001 is the 336001-st square number.

112896672001 is the 168001-st centered octagonal number.

It is an amenable number.

112896672001 is a deficient number, since it is larger than the sum of its proper divisors (502527080).

112896672001 is an frugal number, since it uses more digits than its factorization.

112896672001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 112896672001 in words is "one hundred twelve billion, eight hundred ninety-six million, six hundred seventy-two thousand, one".