45443884800 has 216 divisors, whose sum is σ = 150283186816. Its totient is φ = 12093419520.

The previous prime is 45443884751. The next prime is 45443884807. The reversal of 45443884800 is 848834454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45443884800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45443884807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10500237 + ... + 10504563.

Almost surely, 2^45443884800 is an apocalyptic number.

45443884800 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 45443884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75141593408).

45443884800 is an abundant number, since it is smaller than the sum of its proper divisors (104839302016).

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

45443884800 is a wasteful number, since it uses less digits than its factorization.

45443884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 45443884800 in words is "forty-five billion, four hundred forty-three million, eight hundred eighty-four thousand, eight hundred".