91941761961 has 45 divisors (see below), whose sum is σ = 159801993351. Its totient is φ = 52527233808.

The previous prime is 91941761917. The next prime is 91941761983. The reversal of 91941761961 is 16916714919.

The square root of 91941761961 is 303219.

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

91941761961 is a `hidden beast` number, since 9 + 1 + 9 + 4 + 17 + 619 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68851136025 + 23090625936 = 262395^2 + 151956^2 .

It is not a de Polignac number, because 91941761961 - 2⁷ = 91941761833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 91941761898 and 91941761907.

It is not an unprimeable number, because it can be changed into a prime (91941761911) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19100391 + ... + 19105203.

Almost surely, 2^91941761961 is an apocalyptic number.

91941761961 is the 303219-th square number.

91941761961 is the 151610-th centered octagonal number.

It is an amenable number.

91941761961 is a deficient number, since it is larger than the sum of its proper divisors (67860231390).

91941761961 is an frugal number, since it uses more digits than its factorization.

91941761961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652 (or 4823 counting only the distinct ones).

The product of its digits is 734832, while the sum is 54.

The spelling of 91941761961 in words is "ninety-one billion, nine hundred forty-one million, seven hundred sixty-one thousand, nine hundred sixty-one".