45573819200 has 672 divisors, whose sum is σ = 149003796480. Its totient is φ = 13320806400.

The previous prime is 45573819163. The next prime is 45573819209. The reversal of 45573819200 is 291837554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45573819209) 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, 103812581 + ... + 103813019.

It is an arithmetic number, because the mean of its divisors is an integer number (221731840).

Almost surely, 2^45573819200 is an apocalyptic number.

45573819200 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 45573819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74501898240).

45573819200 is an abundant number, since it is smaller than the sum of its proper divisors (103429977280).

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

45573819200 is a wasteful number, since it uses less digits than its factorization.

45573819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 45573819200 in words is "forty-five billion, five hundred seventy-three million, eight hundred nineteen thousand, two hundred".