91735688641 has 15 divisors (see below), whose sum is σ = 96947627921. Its totient is φ = 86803909884.

The previous prime is 91735688621. The next prime is 91735688647. The reversal of 91735688641 is 14688653719.

The square root of 91735688641 is 302879.

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

It is not a de Polignac number, because 91735688641 - 2⁹ = 91735688129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91735688647) 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, 109338900 + ... + 109339738.

Almost surely, 2^91735688641 is an apocalyptic number.

91735688641 is the 302879-th square number.

91735688641 is the 151440-th centered octagonal number.

It is an amenable number.

91735688641 is a deficient number, since it is larger than the sum of its proper divisors (5211939280).

91735688641 is an frugal number, since it uses more digits than its factorization.

91735688641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 858 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 91735688641 in words is "ninety-one billion, seven hundred thirty-five million, six hundred eighty-eight thousand, six hundred forty-one".