91048193280 has 432 divisors, whose sum is σ = 345061866240. Its totient is φ = 21982003200.

The previous prime is 91048193273. The next prime is 91048193311. The reversal of 91048193280 is 8239184019.

91048193280 is a `hidden beast` number, since 9 + 1 + 0 + 481 + 93 + 2 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34086345 + ... + 34089015.

It is an arithmetic number, because the mean of its divisors is an integer number (798754320).

Almost surely, 2^91048193280 is an apocalyptic number.

91048193280 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 91048193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172530933120).

91048193280 is an abundant number, since it is smaller than the sum of its proper divisors (254013672960).

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

91048193280 is a wasteful number, since it uses less digits than its factorization.

91048193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 91048193280 in words is "ninety-one billion, forty-eight million, one hundred ninety-three thousand, two hundred eighty".