4644750574464 has 384 divisors, whose sum is σ = 16690703447040. Its totient is φ = 1113625497600.

The previous prime is 4644750574441. The next prime is 4644750574489.

4644750574464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4644750574398 and 4644750574407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3678969 + ... + 4777479.

It is an arithmetic number, because the mean of its divisors is an integer number (43465373560).

Almost surely, 2^{4644750574464} is an apocalyptic number.

4644750574464 is a gapful number since it is divisible by the number (44) 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 4644750574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8345351723520).

4644750574464 is an abundant number, since it is smaller than the sum of its proper divisors (12045952872576).

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

4644750574464 is a wasteful number, since it uses less digits than its factorization.

4644750574464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098570 (or 1098547 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 60.

The spelling of 4644750574464 in words is "four trillion, six hundred forty-four billion, seven hundred fifty million, five hundred seventy-four thousand, four hundred sixty-four".