12636951412801 has 27 divisors (see below), whose sum is σ = 13455078378651. Its totient is φ = 11867849167104.

The previous prime is 12636951412777. The next prime is 12636951412807. The reversal of 12636951412801 is 10821415963621.

The square root of 12636951412801 is 3554849.

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 501761139201 + 12135190273600 = 708351^2 + 3483560^2 .

It is not a de Polignac number, because 12636951412801 - 2³³ = 12628361478209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12636951412807) 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, 3814351321 + ... + 3814354633.

Almost surely, 2^{12636951412801} is an apocalyptic number.

12636951412801 is the 3554849-th square number.

12636951412801 is the 1777425-th centered octagonal number.

It is an amenable number.

12636951412801 is a deficient number, since it is larger than the sum of its proper divisors (818126965850).

12636951412801 is an frugal number, since it uses more digits than its factorization.

12636951412801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 12636951412801 by its sum of digits (49), we get a square (619210619227249 = 24883943²).

It can be divided in two parts, 1263695 and 1412801, that added together give a square (2676496 = 1636²).

The spelling of 12636951412801 in words is "twelve trillion, six hundred thirty-six billion, nine hundred fifty-one million, four hundred twelve thousand, eight hundred one".