5649606144000 has 2496 divisors, whose sum is σ = 26046593664000. Its totient is φ = 1189616025600.

The previous prime is 5649606143933. The next prime is 5649606144023. The reversal of 5649606144000 is 4416069465.

It is a happy number.

5649606144000 is a `hidden beast` number, since 5 + 64 + 96 + 0 + 61 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 191 ways as a sum of consecutive naturals, for example, 11321855751 + ... + 11321856249.

It is an arithmetic number, because the mean of its divisors is an integer number (10435334000).

Almost surely, 2^{5649606144000} is an apocalyptic number.

5649606144000 is a gapful number since it is divisible by the number (50) 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 5649606144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023296832000).

5649606144000 is an abundant number, since it is smaller than the sum of its proper divisors (20396987520000).

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

5649606144000 is an equidigital number, since it uses as much as digits as its factorization.

5649606144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 5649606144000 in words is "five trillion, six hundred forty-nine billion, six hundred six million, one hundred forty-four thousand".