91005849000 has 320 divisors, whose sum is σ = 347039035200. Its totient is φ = 22061808000.

The previous prime is 91005848977. The next prime is 91005849001. The reversal of 91005849000 is 94850019.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (91005849001) 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 79 ways as a sum of consecutive naturals, for example, 839931 + ... + 942069.

It is an arithmetic number, because the mean of its divisors is an integer number (1084496985).

Almost surely, 2^91005849000 is an apocalyptic number.

91005849000 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 91005849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173519517600).

91005849000 is an abundant number, since it is smaller than the sum of its proper divisors (256033186200).

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

91005849000 is a wasteful number, since it uses less digits than its factorization.

91005849000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102183 (or 102160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 91005849000 in words is "ninety-one billion, five million, eight hundred forty-nine thousand".