91981098000 has 960 divisors, whose sum is σ = 368818894080. Its totient is φ = 21159936000.

The previous prime is 91981097959. The next prime is 91981098047. The reversal of 91981098000 is 89018919.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 476585904 + ... + 476586096.

It is an arithmetic number, because the mean of its divisors is an integer number (384186348).

Almost surely, 2^91981098000 is an apocalyptic number.

91981098000 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 91981098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184409447040).

91981098000 is an abundant number, since it is smaller than the sum of its proper divisors (276837796080).

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

91981098000 is a wasteful number, since it uses less digits than its factorization.

91981098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 91981098000 in words is "ninety-one billion, nine hundred eighty-one million, ninety-eight thousand".