91284349689 has 81 divisors (see below), whose sum is σ = 146309049549. Its totient is φ = 54819011520.

The previous prime is 91284349657. The next prime is 91284349691. The reversal of 91284349689 is 98694348219.

The square root of 91284349689 is 302133.

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

91284349689 is a `hidden beast` number, since 9 + 1 + 28 + 43 + 496 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64193823225 + 27090526464 = 253365^2 + 164592^2 .

It is not a de Polignac number, because 91284349689 - 2⁵ = 91284349657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91284349619) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 718774344 + ... + 718774470.

Almost surely, 2^91284349689 is an apocalyptic number.

91284349689 is the 302133-rd square number.

91284349689 is the 151067-th centered octagonal number.

It is an amenable number.

91284349689 is a deficient number, since it is larger than the sum of its proper divisors (55024699860).

91284349689 is a wasteful number, since it uses less digits than its factorization.

91284349689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 91284349689 in words is "ninety-one billion, two hundred eighty-four million, three hundred forty-nine thousand, six hundred eighty-nine".