9016963200 has 768 divisors, whose sum is σ = 39977798400. Its totient is φ = 1937571840.

The previous prime is 9016963169. The next prime is 9016963201. The reversal of 9016963200 is 23696109.

9016963200 is a `hidden beast` number, since 9 + 0 + 16 + 9 + 632 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9016963201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10281162 + ... + 10282038.

It is an arithmetic number, because the mean of its divisors is an integer number (52054425).

Almost surely, 2^9016963200 is an apocalyptic number.

9016963200 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 9016963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19988899200).

9016963200 is an abundant number, since it is smaller than the sum of its proper divisors (30960835200).

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

9016963200 is a wasteful number, since it uses less digits than its factorization.

9016963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 9016963200 is about 94957.6916315893. The cubic root of 9016963200 is about 2081.3898501918.

The spelling of 9016963200 in words is "nine billion, sixteen million, nine hundred sixty-three thousand, two hundred".