91120467768 has 128 divisors (see below), whose sum is σ = 257860454400. Its totient is φ = 26582630400.

The previous prime is 91120467761. The next prime is 91120467793. The reversal of 91120467768 is 86776402119.

It is a self number, because there is not a number n which added to its sum of digits gives 91120467768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91120467761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1550668 + ... + 1608356.

It is an arithmetic number, because the mean of its divisors is an integer number (2014534800).

Almost surely, 2^91120467768 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 91120467768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128930227200).

91120467768 is an abundant number, since it is smaller than the sum of its proper divisors (166739986632).

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

91120467768 is a wasteful number, since it uses less digits than its factorization.

91120467768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57933 (or 57929 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 91120467768 in words is "ninety-one billion, one hundred twenty million, four hundred sixty-seven thousand, seven hundred sixty-eight".