91617985648 has 40 divisors (see below), whose sum is σ = 203225073120. Its totient is φ = 39195816960.

The previous prime is 91617985643. The next prime is 91617985681. The reversal of 91617985648 is 84658971619.

It is a super-3 number, since 3×91617985648³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 91617985648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91617985643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 655093 + ... + 782548.

It is an arithmetic number, because the mean of its divisors is an integer number (5080626828).

Almost surely, 2^91617985648 is an apocalyptic number.

It is an amenable number.

91617985648 is an abundant number, since it is smaller than the sum of its proper divisors (111607087472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91617985648 is a wasteful number, since it uses less digits than its factorization.

91617985648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438225 (or 1438219 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 64.

The spelling of 91617985648 in words is "ninety-one billion, six hundred seventeen million, nine hundred eighty-five thousand, six hundred forty-eight".