91729079584 has 24 divisors (see below), whose sum is σ = 184996301868. Its totient is φ = 44745891840.

The previous prime is 91729079579. The next prime is 91729079641. The reversal of 91729079584 is 48597092719.

It can be written as a sum of positive squares in 2 ways, for example, as 56060979984 + 35668099600 = 236772^2 + 188860^2 .

It is a super-2 number, since 2×91729079584² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34956417 + ... + 34959040.

Almost surely, 2^91729079584 is an apocalyptic number.

It is an amenable number.

91729079584 is an abundant number, since it is smaller than the sum of its proper divisors (93267222284).

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

91729079584 is a wasteful number, since it uses less digits than its factorization.

91729079584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69915508 (or 69915500 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 61.

The spelling of 91729079584 in words is "ninety-one billion, seven hundred twenty-nine million, seventy-nine thousand, five hundred eighty-four".