508023634944 has 1056 divisors, whose sum is σ = 1783945368576. Its totient is φ = 125349396480.

The previous prime is 508023634939. The next prime is 508023635023. The reversal of 508023634944 is 449436320805.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 508023634893 and 508023634902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7155262429 + ... + 7155262499.

Almost surely, 2^508023634944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508023634944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891972684288).

508023634944 is an abundant number, since it is smaller than the sum of its proper divisors (1275921733632).

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

508023634944 is a wasteful number, since it uses less digits than its factorization.

508023634944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 508023634944 in words is "five hundred eight billion, twenty-three million, six hundred thirty-four thousand, nine hundred forty-four".