91756647102961 has 9 divisors (see below), whose sum is σ = 94812326163993. Its totient is φ = 88796467891860.

The previous prime is 91756647102937. The next prime is 91756647102997. The reversal of 91756647102961 is 16920174665719.

The square root of 91756647102961 is 9578969.

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

It is a de Polignac number, because none of the positive numbers 2^k-91756647102961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 91756647102893 and 91756647102902.

It is not an unprimeable number, because it can be changed into a prime (91756647102361) 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, 296793540 + ... + 297102538.

Almost surely, 2^{91756647102961} is an apocalyptic number.

91756647102961 is the 9578969-th square number.

91756647102961 is the 4789485-th centered octagonal number.

It is an amenable number.

91756647102961 is a deficient number, since it is larger than the sum of its proper divisors (3055679061032).

91756647102961 is an frugal number, since it uses more digits than its factorization.

91756647102961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618060 (or 309030 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

The spelling of 91756647102961 in words is "ninety-one trillion, seven hundred fifty-six billion, six hundred forty-seven million, one hundred two thousand, nine hundred sixty-one".