4936144752 has 960 divisors, whose sum is σ = 20152281600. Its totient is φ = 1137991680.

The previous prime is 4936144721. The next prime is 4936144783. The reversal of 4936144752 is 2574416394.

It is an interprime number because it is at equal distance from previous prime (4936144721) and next prime (4936144783).

Its product of digits (725760) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4936144698 and 4936144707.

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 191 ways as a sum of consecutive naturals, for example, 114794043 + ... + 114794085.

It is an arithmetic number, because the mean of its divisors is an integer number (20991960).

Almost surely, 2^4936144752 is an apocalyptic number.

4936144752 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 4936144752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076140800).

4936144752 is an abundant number, since it is smaller than the sum of its proper divisors (15216136848).

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

4936144752 is a wasteful number, since it uses less digits than its factorization.

4936144752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 4936144752 is about 70257.7024389497. The cubic root of 4936144752 is about 1702.6653405375.

The spelling of 4936144752 in words is "four billion, nine hundred thirty-six million, one hundred forty-four thousand, seven hundred fifty-two".