91259407774441 has 27 divisors (see below), whose sum is σ = 93265009709637. Its totient is φ = 89296662262080.

The previous prime is 91259407774387. The next prime is 91259407774459. The reversal of 91259407774441 is 14447770495219.

It is a happy number.

The square root of 91259407774441 is 9552979.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7865618494041 + 83393789280400 = 2804571^2 + 9132020^2 .

It is not a de Polignac number, because 91259407774441 - 2⁷ = 91259407774313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91259407774481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106487056485 + ... + 106487057341.

Almost surely, 2^{91259407774441} is an apocalyptic number.

91259407774441 is the 9552979-th square number.

91259407774441 is the 4776490-th centered octagonal number.

It is an amenable number.

91259407774441 is a deficient number, since it is larger than the sum of its proper divisors (2005601935196).

91259407774441 is an frugal number, since it uses more digits than its factorization.

91259407774441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 64.

The spelling of 91259407774441 in words is "ninety-one trillion, two hundred fifty-nine billion, four hundred seven million, seven hundred seventy-four thousand, four hundred forty-one".