45559584000 has 1296 divisors, whose sum is σ = 200828199936. Its totient is φ = 10077696000.

The previous prime is 45559583977. The next prime is 45559584011. The reversal of 45559584000 is 48595554.

45559584000 is a `hidden beast` number, since 4 + 5 + 559 + 58 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

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, 1469663985 + ... + 1469664015.

Almost surely, 2^45559584000 is an apocalyptic number.

45559584000 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 45559584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100414099968).

45559584000 is an abundant number, since it is smaller than the sum of its proper divisors (155268615936).

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

45559584000 is an frugal number, since it uses more digits than its factorization.

45559584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 45559584000 in words is "forty-five billion, five hundred fifty-nine million, five hundred eighty-four thousand".