91609068096 has 448 divisors, whose sum is σ = 335504332800. Its totient is φ = 23866140672.

The previous prime is 91609068059. The next prime is 91609068143. The reversal of 91609068096 is 69086090619.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13048075 + ... + 13055093.

It is an arithmetic number, because the mean of its divisors is an integer number (748893600).

Almost surely, 2^91609068096 is an apocalyptic number.

91609068096 is a gapful number since it is divisible by the number (96) 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 91609068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167752166400).

91609068096 is an abundant number, since it is smaller than the sum of its proper divisors (243895264704).

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

91609068096 is a wasteful number, since it uses less digits than its factorization.

91609068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 91609068096 in words is "ninety-one billion, six hundred nine million, sixty-eight thousand, ninety-six".