4832641598928 has 240 divisors, whose sum is σ = 14797707969408. Its totient is φ = 1349986176000.

The previous prime is 4832641598881. The next prime is 4832641598969. The reversal of 4832641598928 is 8298951462384.

It is a Cunningham number, because it is equal to 2198327²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57114253 + ... + 57198803.

Almost surely, 2^{4832641598928} is an apocalyptic number.

4832641598928 is a gapful number since it is divisible by the number (48) 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 4832641598928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398853984704).

4832641598928 is an abundant number, since it is smaller than the sum of its proper divisors (9965066370480).

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

4832641598928 is a wasteful number, since it uses less digits than its factorization.

4832641598928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85354 (or 85337 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 69.

The spelling of 4832641598928 in words is "four trillion, eight hundred thirty-two billion, six hundred forty-one million, five hundred ninety-eight thousand, nine hundred twenty-eight".