91409007816 has 128 divisors (see below), whose sum is σ = 290785536000. Its totient is φ = 26063021376.

The previous prime is 91409007773. The next prime is 91409007853. The reversal of 91409007816 is 61870090419.

It is a happy number.

It is a super-3 number, since 3×91409007816³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674275 + ... + 798413.

It is an arithmetic number, because the mean of its divisors is an integer number (2271762000).

Almost surely, 2^91409007816 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 91409007816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145392768000).

91409007816 is an abundant number, since it is smaller than the sum of its proper divisors (199376528184).

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

91409007816 is a wasteful number, since it uses less digits than its factorization.

91409007816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124648 (or 124638 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 91409007816 in words is "ninety-one billion, four hundred nine million, seven thousand, eight hundred sixteen".