642585363585246 has 24 divisors (see below), whose sum is σ = 1392302091318840. Its totient is φ = 214189920648816.

The previous prime is 642585363585173. The next prime is 642585363585287.

642585363585246 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 8 + 5 + 36 + 3 + 585 + 2 + 4 + 6 = 666.

642585363585246 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×642585363585246² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432616860 + ... + 434099663.

It is an arithmetic number, because the mean of its divisors is an integer number (58012587138285).

Almost surely, 2^{642585363585246} is an apocalyptic number.

642585363585246 is an abundant number, since it is smaller than the sum of its proper divisors (749716727733594).

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

642585363585246 is a wasteful number, since it uses less digits than its factorization.

642585363585246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866757720 (or 866757717 counting only the distinct ones).

The product of its digits is 4976640000, while the sum is 72.

The spelling of 642585363585246 in words is "six hundred forty-two trillion, five hundred eighty-five billion, three hundred sixty-three million, five hundred eighty-five thousand, two hundred forty-six".