909349368960 has 256 divisors, whose sum is σ = 2940002956800. Its totient is φ = 239041904640.

The previous prime is 909349368953. The next prime is 909349368973. The reversal of 909349368960 is 69863943909.

It is a super-2 number, since 2×909349368960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 909349368891 and 909349368900.

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, 57578665 + ... + 57594455.

It is an arithmetic number, because the mean of its divisors is an integer number (11484386550).

Almost surely, 2^909349368960 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 909349368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470001478400).

909349368960 is an abundant number, since it is smaller than the sum of its proper divisors (2030653587840).

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

909349368960 is a wasteful number, since it uses less digits than its factorization.

909349368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16239 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 66.

The spelling of 909349368960 in words is "nine hundred nine billion, three hundred forty-nine million, three hundred sixty-eight thousand, nine hundred sixty".