18132616414081 has 9 divisors (see below), whose sum is σ = 19634786592681. Its totient is φ = 16737748667952.

The previous prime is 18132616414063. The next prime is 18132616414091. The reversal of 18132616414081 is 18041461623181.

The square root of 18132616414081 is 4258241.

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 6884373668481 + 11248242745600 = 2623809^2 + 3353840^2 .

It is not a de Polignac number, because 18132616414081 - 2⁵ = 18132616414049 is a prime.

It is a super-2 number, since 2×18132616414081² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18132616414091) 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, 55193355 + ... + 55520911.

Almost surely, 2^{18132616414081} is an apocalyptic number.

18132616414081 is the 4258241-st square number.

18132616414081 is the 2129121-st centered octagonal number.

It is an amenable number.

18132616414081 is a deficient number, since it is larger than the sum of its proper divisors (1502170178600).

18132616414081 is an frugal number, since it uses more digits than its factorization.

18132616414081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655140 (or 327570 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 18132616414081 in words is "eighteen trillion, one hundred thirty-two billion, six hundred sixteen million, four hundred fourteen thousand, eighty-one".