91110596416 has 448 divisors, whose sum is σ = 236380446720. Its totient is φ = 33948794880.

The previous prime is 91110596411. The next prime is 91110596443. The reversal of 91110596416 is 61469501119.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×91110596416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91110596411) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 695500671 + ... + 695500801.

Almost surely, 2^91110596416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91110596416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118190223360).

91110596416 is an abundant number, since it is smaller than the sum of its proper divisors (145269850304).

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

91110596416 is a wasteful number, since it uses less digits than its factorization.

91110596416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 43.

The spelling of 91110596416 in words is "ninety-one billion, one hundred ten million, five hundred ninety-six thousand, four hundred sixteen".