504627642144 has 192 divisors, whose sum is σ = 1479625056000. Its totient is φ = 167320995840.

The previous prime is 504627642139. The next prime is 504627642149. The reversal of 504627642144 is 441246726405.

It is a happy number.

504627642144 is a `hidden beast` number, since 5 + 0 + 4 + 627 + 6 + 4 + 2 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (504627642139) and next prime (504627642149).

It is a self number, because there is not a number n which added to its sum of digits gives 504627642144.

It is not an unprimeable number, because it can be changed into a prime (504627642149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137461429 + ... + 137465099.

It is an arithmetic number, because the mean of its divisors is an integer number (7706380500).

Almost surely, 2^504627642144 is an apocalyptic number.

504627642144 is a gapful number since it is divisible by the number (54) 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 504627642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739812528000).

504627642144 is an abundant number, since it is smaller than the sum of its proper divisors (974997413856).

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

504627642144 is a wasteful number, since it uses less digits than its factorization.

504627642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 504627642144 in words is "five hundred four billion, six hundred twenty-seven million, six hundred forty-two thousand, one hundred forty-four".