91158938102961 has 9 divisors (see below), whose sum is σ = 131674063077739. Its totient is φ = 60772606306536.

The previous prime is 91158938102929. The next prime is 91158938102989. The reversal of 91158938102961 is 16920183985119.

The square root of 91158938102961 is 9547719.

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

91158938102961 is a `hidden beast` number, since 9 + 1 + 1 + 589 + 38 + 10 + 2 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3406183992225 + 87752754110736 = 1845585^2 + 9367644^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 91158938102961 - 2⁵ = 91158938102929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91158938101961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27051871 + ... + 30234443.

Almost surely, 2^{91158938102961} is an apocalyptic number.

91158938102961 is the 9547719-th square number.

91158938102961 is the 4773860-th centered octagonal number.

It is an amenable number.

91158938102961 is a deficient number, since it is larger than the sum of its proper divisors (40515124974778).

91158938102961 is an frugal number, since it uses more digits than its factorization.

91158938102961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365152 (or 3182576 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 63.

The spelling of 91158938102961 in words is "ninety-one trillion, one hundred fifty-eight billion, nine hundred thirty-eight million, one hundred two thousand, nine hundred sixty-one".