9116452800 has 840 divisors, whose sum is σ = 41296169376. Its totient is φ = 1920983040.

The previous prime is 9116452781. The next prime is 9116452801. The reversal of 9116452800 is 82546119.

9116452800 is a `hidden beast` number, since 9 + 1 + 1 + 645 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 (9116452801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11793214 + ... + 11793986.

Almost surely, 2^9116452800 is an apocalyptic number.

9116452800 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 9116452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20648084688).

9116452800 is an abundant number, since it is smaller than the sum of its proper divisors (32179716576).

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

9116452800 is a wasteful number, since it uses less digits than its factorization.

9116452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9116452800 is about 95480.1173019807. The cubic root of 9116452800 is about 2089.0169441809.

Adding to 9116452800 its reverse (82546119), we get a palindrome (9198998919).

The spelling of 9116452800 in words is "nine billion, one hundred sixteen million, four hundred fifty-two thousand, eight hundred".