909009112320 has 252 divisors, whose sum is σ = 3264551296356. Its totient is φ = 242402181120.

The previous prime is 909009112307. The next prime is 909009112387. The reversal of 909009112320 is 23211900909.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 407677142016 + 501331970304 = 638496^2 + 708048^2 .

It is a super-3 number, since 3×909009112320³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 446040 + ... + 1420200.

Almost surely, 2^909009112320 is an apocalyptic number.

909009112320 is a gapful number since it is divisible by the number (90) 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 909009112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632275648178).

909009112320 is an abundant number, since it is smaller than the sum of its proper divisors (2355542184036).

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

909009112320 is an frugal number, since it uses more digits than its factorization.

909009112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974200 (or 974171 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 909009112320 in words is "nine hundred nine billion, nine million, one hundred twelve thousand, three hundred twenty".