336564465633 has 64 divisors (see below), whose sum is σ = 562395744000. Its totient is φ = 197132590080.

The previous prime is 336564465577. The next prime is 336564465673.

It is a happy number.

336564465633 is a `hidden beast` number, since 3 + 3 + 6 + 564 + 46 + 5 + 6 + 33 = 666.

336564465633 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 336564465633 - 2¹⁸ = 336564203489 is a prime.

It is a super-3 number, since 3×336564465633³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 336564465633.

It is not an unprimeable number, because it can be changed into a prime (336564465673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1534585 + ... + 1740137.

It is an arithmetic number, because the mean of its divisors is an integer number (8787433500).

Almost surely, 2^336564465633 is an apocalyptic number.

336564465633 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

336564465633 is a deficient number, since it is larger than the sum of its proper divisors (225831278367).

336564465633 is a wasteful number, since it uses less digits than its factorization.

336564465633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205759 (or 205753 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 336564465633 in words is "three hundred thirty-six billion, five hundred sixty-four million, four hundred sixty-five thousand, six hundred thirty-three".