45528206908800 has 1152 divisors, whose sum is σ = 188539182720000. Its totient is φ = 9452298240000.

The previous prime is 45528206908747. The next prime is 45528206908823. The reversal of 45528206908800 is 880960282554.

It is a happy number.

45528206908800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16254267400 + ... + 16254270200.

It is an arithmetic number, because the mean of its divisors is an integer number (163662485000).

Almost surely, 2^{45528206908800} is an apocalyptic number.

45528206908800 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 45528206908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94269591360000).

45528206908800 is an abundant number, since it is smaller than the sum of its proper divisors (143010975811200).

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

45528206908800 is a wasteful number, since it uses less digits than its factorization.

45528206908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 45528206908800 in words is "forty-five trillion, five hundred twenty-eight billion, two hundred six million, nine hundred eight thousand, eight hundred".