9046738800 has 480 divisors, whose sum is σ = 35382021120. Its totient is φ = 2177280000.

The previous prime is 9046738781. The next prime is 9046738807. The reversal of 9046738800 is 88376409.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9046738807) 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, 32194660 + ... + 32194940.

It is an arithmetic number, because the mean of its divisors is an integer number (73712544).

Almost surely, 2^9046738800 is an apocalyptic number.

9046738800 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 9046738800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17691010560).

9046738800 is an abundant number, since it is smaller than the sum of its proper divisors (26335282320).

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

9046738800 is a wasteful number, since it uses less digits than its factorization.

9046738800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9046738800 is about 95114.3459211070. The cubic root of 9046738800 is about 2083.6783715811.

The spelling of 9046738800 in words is "nine billion, forty-six million, seven hundred thirty-eight thousand, eight hundred".