9013638816 has 288 divisors, whose sum is σ = 33405136128. Its totient is φ = 2237276160.

The previous prime is 9013638791. The next prime is 9013638827. The reversal of 9013638816 is 6188363109.

It is a happy number.

9013638816 is a `hidden beast` number, since 9 + 0 + 1 + 3 + 638 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435421 + ... + 455651.

It is an arithmetic number, because the mean of its divisors is an integer number (115990056).

Almost surely, 2^9013638816 is an apocalyptic number.

9013638816 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 9013638816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16702568064).

9013638816 is an abundant number, since it is smaller than the sum of its proper divisors (24391497312).

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

9013638816 is a wasteful number, since it uses less digits than its factorization.

9013638816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20284 (or 20273 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9013638816 is about 94940.1854643227. The cubic root of 9013638816 is about 2081.1340290438.

The spelling of 9013638816 in words is "nine billion, thirteen million, six hundred thirty-eight thousand, eight hundred sixteen".