91649789125 has 16 divisors (see below), whose sum is σ = 114421093488. Its totient is φ = 73292808000.

The previous prime is 91649789117. The next prime is 91649789149. The reversal of 91649789125 is 52198794619.

It can be written as a sum of positive squares in 8 ways, for example, as 70459455364 + 21190333761 = 265442^2 + 145569^2 .

It is not a de Polignac number, because 91649789125 - 2³ = 91649789117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208879 + ... + 476371.

It is an arithmetic number, because the mean of its divisors is an integer number (7151318343).

Almost surely, 2^91649789125 is an apocalyptic number.

It is an amenable number.

91649789125 is a deficient number, since it is larger than the sum of its proper divisors (22771304363).

91649789125 is a wasteful number, since it uses less digits than its factorization.

91649789125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270249 (or 270239 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 61.

The spelling of 91649789125 in words is "ninety-one billion, six hundred forty-nine million, seven hundred eighty-nine thousand, one hundred twenty-five".