45233318400 has 480 divisors, whose sum is σ = 156180182400. Its totient is φ = 11526144000.

The previous prime is 45233318399. The next prime is 45233318419. The reversal of 45233318400 is 481333254.

It is a tau number, because it is divible by the number of its divisors (480).

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, 168153466 + ... + 168153734.

It is an arithmetic number, because the mean of its divisors is an integer number (325375380).

Almost surely, 2^45233318400 is an apocalyptic number.

45233318400 is a gapful number since it is divisible by the number (40) 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 45233318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78090091200).

45233318400 is an abundant number, since it is smaller than the sum of its proper divisors (110946864000).

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

45233318400 is a wasteful number, since it uses less digits than its factorization.

45233318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 45233318400 in words is "forty-five billion, two hundred thirty-three million, three hundred eighteen thousand, four hundred".