506456564006614 has 96 divisors (see below), whose sum is σ = 854223876910080. Its totient is φ = 224919719571456.

The previous prime is 506456564006597. The next prime is 506456564006641. The reversal of 506456564006614 is 416600465654605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496616622 + ... + 497635390.

It is an arithmetic number, because the mean of its divisors is an integer number (8898165384480).

Almost surely, 2^{506456564006614} is an apocalyptic number.

506456564006614 is a deficient number, since it is larger than the sum of its proper divisors (347767312903466).

506456564006614 is a wasteful number, since it uses less digits than its factorization.

506456564006614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019274 (or 1019261 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 58.

The spelling of 506456564006614 in words is "five hundred six trillion, four hundred fifty-six billion, five hundred sixty-four million, six thousand, six hundred fourteen".