91004788901 has 16 divisors (see below), whose sum is σ = 101704604400. Its totient is φ = 80851749888.

The previous prime is 91004788883. The next prime is 91004788949. The reversal of 91004788901 is 10988740019.

It is a Cunningham number, because it is equal to 301670²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 11669616676 + 79335172225 = 108026^2 + 281665^2 .

It is not a de Polignac number, because 91004788901 - 2¹⁴ = 91004772517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91004788951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261236 + ... + 500253.

It is an arithmetic number, because the mean of its divisors is an integer number (6356537775).

Almost surely, 2^91004788901 is an apocalyptic number.

It is an amenable number.

91004788901 is a deficient number, since it is larger than the sum of its proper divisors (10699815499).

91004788901 is a wasteful number, since it uses less digits than its factorization.

91004788901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761848.

The product of its (nonzero) digits is 145152, while the sum is 47.

The spelling of 91004788901 in words is "ninety-one billion, four million, seven hundred eighty-eight thousand, nine hundred one".