45582544800 has 432 divisors, whose sum is σ = 178527948480. Its totient is φ = 11219420160.

The previous prime is 45582544793. The next prime is 45582544811. The reversal of 45582544800 is 844528554.

45582544800 is a `hidden beast` number, since 4 + 558 + 2 + 54 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3644157 + ... + 3656643.

It is an arithmetic number, because the mean of its divisors is an integer number (413259140).

Almost surely, 2^45582544800 is an apocalyptic number.

45582544800 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 45582544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89263974240).

45582544800 is an abundant number, since it is smaller than the sum of its proper divisors (132945403680).

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

45582544800 is a wasteful number, since it uses less digits than its factorization.

45582544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12542 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 45582544800 in words is "forty-five billion, five hundred eighty-two million, five hundred forty-four thousand, eight hundred".