45520966444800 has 2592 divisors, whose sum is σ = 206133149134080. Its totient is φ = 8717480755200.

The previous prime is 45520966444787. The next prime is 45520966444859. The reversal of 45520966444800 is 844466902554.

45520966444800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7275203272 + ... + 7275209528.

Almost surely, 2^{45520966444800} is an apocalyptic number.

45520966444800 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 45520966444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103066574567040).

45520966444800 is an abundant number, since it is smaller than the sum of its proper divisors (160612182689280).

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

45520966444800 is a wasteful number, since it uses less digits than its factorization.

45520966444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 57.

The spelling of 45520966444800 in words is "forty-five trillion, five hundred twenty billion, nine hundred sixty-six million, four hundred forty-four thousand, eight hundred".