509481914868 has 72 divisors (see below), whose sum is σ = 1410634559880. Its totient is φ = 154325821440.

The previous prime is 509481914857. The next prime is 509481914917. The reversal of 509481914868 is 868419184905.

509481914868 is a `hidden beast` number, since 5 + 0 + 9 + 481 + 9 + 148 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 163335605904 + 346146308964 = 404148^2 + 588342^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14335473 + ... + 14370968.

It is an arithmetic number, because the mean of its divisors is an integer number (19592146665).

Almost surely, 2^509481914868 is an apocalyptic number.

509481914868 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

509481914868 is an abundant number, since it is smaller than the sum of its proper divisors (901152645012).

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

509481914868 is a wasteful number, since it uses less digits than its factorization.

509481914868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28706497 (or 28706492 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 509481914868 in words is "five hundred nine billion, four hundred eighty-one million, nine hundred fourteen thousand, eight hundred sixty-eight".