45583582800 has 360 divisors, whose sum is σ = 173076038496. Its totient is φ = 10221818880.

The previous prime is 45583582799. The next prime is 45583582817. The reversal of 45583582800 is 828538554.

45583582800 is digitally balanced in base 2, 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45583582800.

It is a congruent number.

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, 3109087 + ... + 3123713.

Almost surely, 2^45583582800 is an apocalyptic number.

45583582800 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 45583582800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538019248).

45583582800 is an abundant number, since it is smaller than the sum of its proper divisors (127492455696).

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

45583582800 is a wasteful number, since it uses less digits than its factorization.

45583582800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14715 (or 14697 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 45583582800 in words is "forty-five billion, five hundred eighty-three million, five hundred eighty-two thousand, eight hundred".