186597216961 has 9 divisors (see below), whose sum is σ = 187192199649. Its totient is φ = 186004123524.

The previous prime is 186597216959. The next prime is 186597216979. The reversal of 186597216961 is 169612795681.

The square root of 186597216961 is 431969.

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

It is not a de Polignac number, because 186597216961 - 2¹ = 186597216959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 186597216961.

It is not an unprimeable number, because it can be changed into a prime (186597216901) 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, 210368460 + ... + 210369346.

Almost surely, 2^186597216961 is an apocalyptic number.

186597216961 is the 431969-th square number.

186597216961 is the 215985-th centered octagonal number.

It is an amenable number.

186597216961 is a deficient number, since it is larger than the sum of its proper divisors (594982688).

186597216961 is an frugal number, since it uses more digits than its factorization.

186597216961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 1374 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 61.

The spelling of 186597216961 in words is "one hundred eighty-six billion, five hundred ninety-seven million, two hundred sixteen thousand, nine hundred sixty-one".