508231120876416 has 2304 divisors, whose sum is σ = 1922542119014400. Its totient is φ = 125910743777280.

The previous prime is 508231120876379. The next prime is 508231120876421. The reversal of 508231120876416 is 614678021132805.

It is a happy number.

508231120876416 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 3 + 11 + 208 + 7 + 6 + 416 = 666.

It is a super-4 number, since 4×508231120876416⁴ (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 152943459331 + ... + 152943462653.

It is an arithmetic number, because the mean of its divisors is an integer number (834436683600).

Almost surely, 2^{508231120876416} is an apocalyptic number.

508231120876416 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 508231120876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961271059507200).

508231120876416 is an abundant number, since it is smaller than the sum of its proper divisors (1414310998137984).

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

508231120876416 is a wasteful number, since it uses less digits than its factorization.

508231120876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 508231120876416 in words is "five hundred eight trillion, two hundred thirty-one billion, one hundred twenty million, eight hundred seventy-six thousand, four hundred sixteen".