91416122688 has 112 divisors (see below), whose sum is σ = 263987499456. Its totient is φ = 27688488960.

The previous prime is 91416122687. The next prime is 91416122717. The reversal of 91416122688 is 88622161419.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91416122687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4918020 + ... + 4936572.

Almost surely, 2^91416122688 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 91416122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131993749728).

91416122688 is an abundant number, since it is smaller than the sum of its proper divisors (172571376768).

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

91416122688 is a wasteful number, since it uses less digits than its factorization.

91416122688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20912 (or 20902 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The spelling of 91416122688 in words is "ninety-one billion, four hundred sixteen million, one hundred twenty-two thousand, six hundred eighty-eight".