4564445952000 has 1536 divisors, whose sum is σ = 17720969011200. Its totient is φ = 1032192000000.

The previous prime is 4564445951999. The next prime is 4564445952013. The reversal of 4564445952000 is 2595444654.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7594751700 + ... + 7594752300.

It is an arithmetic number, because the mean of its divisors is an integer number (11537089200).

Almost surely, 2^{4564445952000} is an apocalyptic number.

4564445952000 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 4564445952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8860484505600).

4564445952000 is an abundant number, since it is smaller than the sum of its proper divisors (13156523059200).

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

4564445952000 is a wasteful number, since it uses less digits than its factorization.

4564445952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 4564445952000 in words is "four trillion, five hundred sixty-four billion, four hundred forty-five million, nine hundred fifty-two thousand".