91481460981120 has 1024 divisors, whose sum is σ = 384467917824000. Its totient is φ = 20114304860160.

The previous prime is 91481460981109. The next prime is 91481460981179. The reversal of 91481460981120 is 2118906418419.

91481460981120 is a `hidden beast` number, since 9 + 1 + 4 + 8 + 1 + 4 + 609 + 8 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 950576524 + ... + 950672756.

It is an arithmetic number, because the mean of its divisors is an integer number (375456951000).

Almost surely, 2^{91481460981120} is an apocalyptic number.

91481460981120 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 91481460981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192233958912000).

91481460981120 is an abundant number, since it is smaller than the sum of its proper divisors (292986456842880).

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

91481460981120 is a wasteful number, since it uses less digits than its factorization.

91481460981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96568 (or 96550 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 91481460981120 in words is "ninety-one trillion, four hundred eighty-one billion, four hundred sixty million, nine hundred eighty-one thousand, one hundred twenty".