91474005841920 has 1728 divisors, whose sum is σ = 359333750936160. Its totient is φ = 21382129778688.

The previous prime is 91474005841909. The next prime is 91474005841949. The reversal of 91474005841920 is 2914850047419.

91474005841920 is a `hidden beast` number, since 9 + 1 + 4 + 7 + 40 + 0 + 584 + 19 + 2 + 0 = 666.

It is a super-2 number, since 2×91474005841920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70527374712 + ... + 70527376008.

Almost surely, 2^{91474005841920} is an apocalyptic number.

91474005841920 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 91474005841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179666875468080).

91474005841920 is an abundant number, since it is smaller than the sum of its proper divisors (267859745094240).

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

91474005841920 is a wasteful number, since it uses less digits than its factorization.

91474005841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 91474005841920 in words is "ninety-one trillion, four hundred seventy-four billion, five million, eight hundred forty-one thousand, nine hundred twenty".