91000910001000 has 256 divisors, whose sum is σ = 298913529657600. Its totient is φ = 22986058752000.

The previous prime is 91000910000999. The next prime is 91000910001011. The reversal of 91000910001000 is 10001900019.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368837680 + ... + 369084320.

It is an arithmetic number, because the mean of its divisors is an integer number (1167630975225).

Almost surely, 2^{91000910001000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91000910001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149456764828800).

91000910001000 is an abundant number, since it is smaller than the sum of its proper divisors (207912619656600).

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

91000910001000 is a wasteful number, since it uses less digits than its factorization.

91000910001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253157 (or 253143 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

Adding to 91000910001000 its reverse (10001900019), we get a palindrome (91010911901019).

The spelling of 91000910001000 in words is "ninety-one trillion, nine hundred ten million, one thousand".