508031491968 has 2048 divisors, whose sum is σ = 2135831040000. Its totient is φ = 118513704960.

The previous prime is 508031491921. The next prime is 508031492027. The reversal of 508031491968 is 869194130805.

508031491968 is a `hidden beast` number, since 508 + 0 + 3 + 1 + 49 + 1 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 13730580846 + ... + 13730580882.

It is an arithmetic number, because the mean of its divisors is an integer number (1042886250).

Almost surely, 2^508031491968 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 508031491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067915520000).

508031491968 is an abundant number, since it is smaller than the sum of its proper divisors (1627799548032).

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

508031491968 is an equidigital number, since it uses as much as digits as its factorization.

508031491968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

It can be divided in two parts, 508031 and 491968, that added together give a palindrome (999999).

The spelling of 508031491968 in words is "five hundred eight billion, thirty-one million, four hundred ninety-one thousand, nine hundred sixty-eight".