9033125616 has 320 divisors, whose sum is σ = 28998144000. Its totient is φ = 2678987520.

The previous prime is 9033125611. The next prime is 9033125659. The reversal of 9033125616 is 6165213309.

9033125616 is a `hidden beast` number, since 9 + 0 + 3 + 31 + 2 + 5 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9033125611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11137851 + ... + 11138661.

It is an arithmetic number, because the mean of its divisors is an integer number (90619200).

Almost surely, 2^9033125616 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 9033125616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14499072000).

9033125616 is an abundant number, since it is smaller than the sum of its proper divisors (19965018384).

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

9033125616 is a wasteful number, since it uses less digits than its factorization.

9033125616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 9033125616 is about 95042.7567781996. The cubic root of 9033125616 is about 2082.6327005987.

The spelling of 9033125616 in words is "nine billion, thirty-three million, one hundred twenty-five thousand, six hundred sixteen".