112626688801 has 9 divisors (see below), whose sum is σ = 123800335603. Its totient is φ = 102384542920.

The previous prime is 112626688799. The next prime is 112626688813. The reversal of 112626688801 is 108886626211.

The square root of 112626688801 is 335599.

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

It can be written as a sum of positive squares in only one way, i.e., 66438801 + 112560250000 = 8151^2 + 335500^2 .

It is not a de Polignac number, because 112626688801 - 2¹ = 112626688799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112626688001) 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, 3676335 + ... + 3706843.

Almost surely, 2^112626688801 is an apocalyptic number.

112626688801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112626688801 is the 335599-th square number.

112626688801 is the 167800-th centered octagonal number.

It is an amenable number.

112626688801 is a deficient number, since it is larger than the sum of its proper divisors (11173646802).

112626688801 is an frugal number, since it uses more digits than its factorization.

112626688801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61040 (or 30520 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

Multiplying 112626688801 by its sum of digits (49), we get a square (5518707751249 = 2349193²).

The spelling of 112626688801 in words is "one hundred twelve billion, six hundred twenty-six million, six hundred eighty-eight thousand, eight hundred one".