91456233996960 has 1440 divisors, whose sum is σ = 392175945120960. Its totient is φ = 19342899781632.

The previous prime is 91456233996937. The next prime is 91456233997013. The reversal of 91456233996960 is 6969933265419.

It is a happy number.

91456233996960 is a `hidden beast` number, since 9 + 1 + 456 + 23 + 3 + 9 + 96 + 9 + 60 = 666.

91456233996960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×91456233996960³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 239 ways as a sum of consecutive naturals, for example, 2824712292 + ... + 2824744668.

It is an arithmetic number, because the mean of its divisors is an integer number (272344406334).

Almost surely, 2^{91456233996960} is an apocalyptic number.

91456233996960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91456233996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196087972560480).

91456233996960 is an abundant number, since it is smaller than the sum of its proper divisors (300719711124000).

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

91456233996960 is a wasteful number, since it uses less digits than its factorization.

91456233996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32488 (or 32456 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 72.

The spelling of 91456233996960 in words is "ninety-one trillion, four hundred fifty-six billion, two hundred thirty-three million, nine hundred ninety-six thousand, nine hundred sixty".