91848874320 has 800 divisors, whose sum is σ = 406404345600. Its totient is φ = 18716147712.

The previous prime is 91848874217. The next prime is 91848874321. The reversal of 91848874320 is 2347884819.

It is a happy number.

91848874320 is a `hidden beast` number, since 91 + 8 + 48 + 87 + 432 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91848874321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14648146 + ... + 14654414.

It is an arithmetic number, because the mean of its divisors is an integer number (508005432).

Almost surely, 2^91848874320 is an apocalyptic number.

91848874320 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 91848874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203202172800).

91848874320 is an abundant number, since it is smaller than the sum of its proper divisors (314555471280).

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

91848874320 is a wasteful number, since it uses less digits than its factorization.

91848874320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 91848874320 in words is "ninety-one billion, eight hundred forty-eight million, eight hundred seventy-four thousand, three hundred twenty".