508243470336 has 432 divisors, whose sum is σ = 1733885244000. Its totient is φ = 140493864960.

The previous prime is 508243470331. The next prime is 508243470353. The reversal of 508243470336 is 633074342805.

508243470336 is a `hidden beast` number, since 5 + 0 + 8 + 243 + 4 + 70 + 336 = 666.

It is a super-2 number, since 2×508243470336² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 508243470291 and 508243470300.

It is not an unprimeable number, because it can be changed into a prime (508243470331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123990015 + ... + 123994113.

It is an arithmetic number, because the mean of its divisors is an integer number (4013623250).

Almost surely, 2^508243470336 is an apocalyptic number.

508243470336 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 508243470336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866942622000).

508243470336 is an abundant number, since it is smaller than the sum of its proper divisors (1225641773664).

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

508243470336 is a wasteful number, since it uses less digits than its factorization.

508243470336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 508243470336 in words is "five hundred eight billion, two hundred forty-three million, four hundred seventy thousand, three hundred thirty-six".