91312967040 has 128 divisors (see below), whose sum is σ = 291248939520. Its totient is φ = 24334325760.

The previous prime is 91312966981. The next prime is 91312967077. The reversal of 91312967040 is 4076921319.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 91312966983 and 91312967001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109225 + ... + 3138455.

It is an arithmetic number, because the mean of its divisors is an integer number (2275382340).

Almost surely, 2^91312967040 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 91312967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145624469760).

91312967040 is an abundant number, since it is smaller than the sum of its proper divisors (199935972480).

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

91312967040 is a wasteful number, since it uses less digits than its factorization.

91312967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30880 (or 30868 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 91312967040 in words is "ninety-one billion, three hundred twelve million, nine hundred sixty-seven thousand, forty".