12918266451601 has 15 divisors (see below), whose sum is σ = 15070619590953. Its totient is φ = 11072648859300.

The previous prime is 12918266451593. The next prime is 12918266451617. The reversal of 12918266451601 is 10615466281921.

The square root of 12918266451601 is 3594199.

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

It is not a de Polignac number, because 12918266451601 - 2³ = 12918266451593 is a prime.

It is a super-2 number, since 2×12918266451601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12918266451631) 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, 176079076 + ... + 176152426.

Almost surely, 2^{12918266451601} is an apocalyptic number.

12918266451601 is the 3594199-th square number.

12918266451601 is the 1797100-th centered octagonal number.

It is an amenable number.

12918266451601 is a deficient number, since it is larger than the sum of its proper divisors (2152353139352).

12918266451601 is an frugal number, since it uses more digits than its factorization.

12918266451601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146730 (or 73358 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 12918266451601 in words is "twelve trillion, nine hundred eighteen billion, two hundred sixty-six million, four hundred fifty-one thousand, six hundred one".