508323833307136 has 448 divisors, whose sum is σ = 1287024615866880. Its totient is φ = 195005251584000.

The previous prime is 508323833307133. The next prime is 508323833307137. The reversal of 508323833307136 is 631703338323805.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508323833307133) 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, 13529667231 + ... + 13529704801.

Almost surely, 2^{508323833307136} is an apocalyptic number.

508323833307136 is a gapful number since it is divisible by the number (56) 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 508323833307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643512307933440).

508323833307136 is an abundant number, since it is smaller than the sum of its proper divisors (778700782559744).

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

508323833307136 is a wasteful number, since it uses less digits than its factorization.

508323833307136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37945 (or 37921 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 55.

The spelling of 508323833307136 in words is "five hundred eight trillion, three hundred twenty-three billion, eight hundred thirty-three million, three hundred seven thousand, one hundred thirty-six".