45063309844224 has 864 divisors, whose sum is σ = 163319982336000. Its totient is φ = 12186803994624.

The previous prime is 45063309844207. The next prime is 45063309844229. The reversal of 45063309844224 is 42244890336054.

45063309844224 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 330 + 9 + 84 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45063309844229) 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, 9581819857 + ... + 9581824559.

Almost surely, 2^{45063309844224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45063309844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81659991168000).

45063309844224 is an abundant number, since it is smaller than the sum of its proper divisors (118256672491776).

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

45063309844224 is a wasteful number, since it uses less digits than its factorization.

45063309844224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 6223 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 45063309844224 in words is "forty-five trillion, sixty-three billion, three hundred nine million, eight hundred forty-four thousand, two hundred twenty-four".