91351941120 has 450 divisors, whose sum is σ = 348093667194. Its totient is φ = 22145925120.

The previous prime is 91351941103. The next prime is 91351941169. The reversal of 91351941120 is 2114915319.

91351941120 is a `hidden beast` number, since 9 + 13 + 519 + 4 + 1 + 120 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73081552896 + 18270388224 = 270336^2 + 135168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8304721915 + ... + 8304721925.

Almost surely, 2^91351941120 is an apocalyptic number.

91351941120 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 91351941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174046833597).

91351941120 is an abundant number, since it is smaller than the sum of its proper divisors (256741726074).

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

91351941120 is an frugal number, since it uses more digits than its factorization.

91351941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 91351941120 in words is "ninety-one billion, three hundred fifty-one million, nine hundred forty-one thousand, one hundred twenty".