4530882629952 has 840 divisors, whose sum is σ = 16564707422208. Its totient is φ = 1218841344000.

The previous prime is 4530882629929. The next prime is 4530882629953. The reversal of 4530882629952 is 2599262880354.

4530882629952 is a `hidden beast` number, since 4 + 530 + 8 + 8 + 2 + 6 + 2 + 9 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4530882629952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4530882629953) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 291348577 + ... + 291364127.

Almost surely, 2^{4530882629952} is an apocalyptic number.

4530882629952 is a gapful number since it is divisible by the number (42) 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 4530882629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282353711104).

4530882629952 is an abundant number, since it is smaller than the sum of its proper divisors (12033824792256).

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

4530882629952 is a wasteful number, since it uses less digits than its factorization.

4530882629952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15657 (or 15631 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 4530882629952 in words is "four trillion, five hundred thirty billion, eight hundred eighty-two million, six hundred twenty-nine thousand, nine hundred fifty-two".