91181465832960 has 720 divisors, whose sum is σ = 324529746512400. Its totient is φ = 23653197545472.

The previous prime is 91181465832953. The next prime is 91181465832979. The reversal of 91181465832960 is 6923856418119.

91181465832960 is a `hidden beast` number, since 9 + 1 + 1 + 8 + 1 + 46 + 583 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×91181465832960² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12790214676 + ... + 12790221804.

It is an arithmetic number, because the mean of its divisors is an integer number (450735759045).

Almost surely, 2^{91181465832960} is an apocalyptic number.

91181465832960 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 91181465832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162264873256200).

91181465832960 is an abundant number, since it is smaller than the sum of its proper divisors (233348280679440).

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

91181465832960 is an equidigital number, since it uses as much as digits as its factorization.

91181465832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7411 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 91181465832960 in words is "ninety-one trillion, one hundred eighty-one billion, four hundred sixty-five million, eight hundred thirty-two thousand, nine hundred sixty".