4589257424768 has 64 divisors (see below), whose sum is σ = 9683084930400. Its totient is φ = 2159066038272.

The previous prime is 4589257424711. The next prime is 4589257424777. The reversal of 4589257424768 is 8674247529854.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4589257424768² (a number of 26 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 7808996 + ... + 8376092.

Almost surely, 2^{4589257424768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4589257424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841542465200).

4589257424768 is an abundant number, since it is smaller than the sum of its proper divisors (5093827505632).

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

4589257424768 is a wasteful number, since it uses less digits than its factorization.

4589257424768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570847 (or 570835 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 71.

The spelling of 4589257424768 in words is "four trillion, five hundred eighty-nine billion, two hundred fifty-seven million, four hundred twenty-four thousand, seven hundred sixty-eight".