9005423616 has 704 divisors, whose sum is σ = 33538048000. Its totient is φ = 2329067520.

The previous prime is 9005423593. The next prime is 9005423627. The reversal of 9005423616 is 6163245009.

It is a happy number.

It is a super-2 number, since 2×9005423616² (a number of 21 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 113992665 + ... + 113992743.

Almost surely, 2^9005423616 is an apocalyptic number.

9005423616 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 9005423616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16769024000).

9005423616 is an abundant number, since it is smaller than the sum of its proper divisors (24532624384).

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

9005423616 is a wasteful number, since it uses less digits than its factorization.

9005423616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9005423616 is about 94896.9104660420. The cubic root of 9005423616 is about 2080.5015752919.

The spelling of 9005423616 in words is "nine billion, five million, four hundred twenty-three thousand, six hundred sixteen".