4566144000 has 704 divisors, whose sum is σ = 17657782272. Its totient is φ = 1036288000.

The previous prime is 4566143999. The next prime is 4566144013. The reversal of 4566144000 is 4416654.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97151977 + ... + 97152023.

Almost surely, 2^4566144000 is an apocalyptic number.

4566144000 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 4566144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828891136).

4566144000 is an abundant number, since it is smaller than the sum of its proper divisors (13091638272).

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

4566144000 is a wasteful number, since it uses less digits than its factorization.

4566144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4566144000 is about 67573.2491449094. The cubic root of 4566144000 is about 1659.0133004975.

The spelling of 4566144000 in words is "four billion, five hundred sixty-six million, one hundred forty-four thousand".