86630737561 has 27 divisors (see below), whose sum is σ = 92416730133. Its totient is φ = 81200036280.

The previous prime is 86630737553. The next prime is 86630737573. The reversal of 86630737561 is 16573703668.

The square root of 86630737561 is 294331.

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

It is not a de Polignac number, because 86630737561 - 2³ = 86630737553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86630737499 and 86630737508.

It is not an unprimeable number, because it can be changed into a prime (86630737261) 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, 453563976 + ... + 453564166.

Almost surely, 2^86630737561 is an apocalyptic number.

86630737561 is the 294331-st square number.

86630737561 is the 147166-th centered octagonal number.

It is an amenable number.

86630737561 is a deficient number, since it is larger than the sum of its proper divisors (5785992572).

86630737561 is an frugal number, since it uses more digits than its factorization.

86630737561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 86630737561 in words is "eighty-six billion, six hundred thirty million, seven hundred thirty-seven thousand, five hundred sixty-one".