32864355346823 has 96 divisors (see below), whose sum is σ = 45014424440832. Its totient is φ = 23585652921600.

The previous prime is 32864355346769. The next prime is 32864355346841.

It is a happy number.

32864355346823 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32864355346823 - 2¹⁸ = 32864355084679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32864355346853) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10102782065 + ... + 10102785317.

It is an arithmetic number, because the mean of its divisors is an integer number (468900254592).

Almost surely, 2^{32864355346823} is an apocalyptic number.

32864355346823 is a deficient number, since it is larger than the sum of its proper divisors (12150069094009).

32864355346823 is a wasteful number, since it uses less digits than its factorization.

32864355346823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085 (or 6078 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 62.

The spelling of 32864355346823 in words is "thirty-two trillion, eight hundred sixty-four billion, three hundred fifty-five million, three hundred forty-six thousand, eight hundred twenty-three".