646552646255646 has 96 divisors (see below), whose sum is σ = 1590640234659840. Its totient is φ = 188158294550592.

The previous prime is 646552646255623. The next prime is 646552646255671.

646552646255646 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 5 + 2 + 6 + 4 + 62 + 556 + 4 + 6 = 666.

646552646255646 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×646552646255646³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117089950 + ... + 122487393.

It is an arithmetic number, because the mean of its divisors is an integer number (16569169111040).

Almost surely, 2^{646552646255646} is an apocalyptic number.

646552646255646 is an abundant number, since it is smaller than the sum of its proper divisors (944087588404194).

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

646552646255646 is a wasteful number, since it uses less digits than its factorization.

646552646255646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239577990 (or 239577987 counting only the distinct ones).

The product of its digits is 7464960000, while the sum is 72.

The spelling of 646552646255646 in words is "six hundred forty-six trillion, five hundred fifty-two billion, six hundred forty-six million, two hundred fifty-five thousand, six hundred forty-six".