91474145280 has 624 divisors, whose sum is σ = 374220447744. Its totient is φ = 20225064960.

The previous prime is 91474145263. The next prime is 91474145299. The reversal of 91474145280 is 8254147419.

91474145280 is a `hidden beast` number, since 91 + 474 + 14 + 5 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39996297 + ... + 39998583.

It is an arithmetic number, because the mean of its divisors is an integer number (599712256).

Almost surely, 2^91474145280 is an apocalyptic number.

91474145280 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 91474145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187110223872).

91474145280 is an abundant number, since it is smaller than the sum of its proper divisors (282746302464).

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

91474145280 is a wasteful number, since it uses less digits than its factorization.

91474145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 91474145280 in words is "ninety-one billion, four hundred seventy-four million, one hundred forty-five thousand, two hundred eighty".