4953324659328 has 448 divisors, whose sum is σ = 15704789780520. Its totient is φ = 1550084014080.

The previous prime is 4953324659221. The next prime is 4953324659363. The reversal of 4953324659328 is 8239564233594.

It is a happy number.

4953324659328 is a `hidden beast` number, since 4 + 9 + 5 + 3 + 32 + 4 + 6 + 593 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4081401981504 + 871922677824 = 2020248^2 + 933768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 667830276 + ... + 667837692.

Almost surely, 2^{4953324659328} is an apocalyptic number.

4953324659328 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 4953324659328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7852394890260).

4953324659328 is an abundant number, since it is smaller than the sum of its proper divisors (10751465121192).

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

4953324659328 is an equidigital number, since it uses as much as digits as its factorization.

4953324659328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7887 (or 7860 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 63.

The spelling of 4953324659328 in words is "four trillion, nine hundred fifty-three billion, three hundred twenty-four million, six hundred fifty-nine thousand, three hundred twenty-eight".