81414725556609 has 48 divisors (see below), whose sum is σ = 124206209807680. Its totient is φ = 51246343872000.

The previous prime is 81414725556601. The next prime is 81414725556611. The reversal of 81414725556609 is 90665552741418.

It is a happy number.

81414725556609 is a `hidden beast` number, since 8 + 1 + 4 + 1 + 4 + 72 + 5 + 556 + 6 + 0 + 9 = 666.

81414725556609 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 81414725556609 - 2³ = 81414725556601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81414725556601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472439349 + ... + 472611645.

Almost surely, 2^{81414725556609} is an apocalyptic number.

It is an amenable number.

81414725556609 is a deficient number, since it is larger than the sum of its proper divisors (42791484251071).

81414725556609 is a wasteful number, since it uses less digits than its factorization.

81414725556609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181630 (or 181627 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 81414725556609 in words is "eighty-one trillion, four hundred fourteen billion, seven hundred twenty-five million, five hundred fifty-six thousand, six hundred nine".