338663366833 has 8 divisors (see below), whose sum is σ = 369542737440. Its totient is φ = 307799294880.

The previous prime is 338663366827. The next prime is 338663366843.

It is a happy number.

338663366833 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338663366833 - 2⁵ = 338663366801 is a prime.

It is a super-2 number, since 2×338663366833² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338663366843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3778348 + ... + 3866941.

It is an arithmetic number, because the mean of its divisors is an integer number (46192842180).

Almost surely, 2^338663366833 is an apocalyptic number.

It is an amenable number.

338663366833 is a deficient number, since it is larger than the sum of its proper divisors (30879370607).

338663366833 is a wasteful number, since it uses less digits than its factorization.

338663366833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649327.

The product of its digits is 60466176, while the sum is 58.

The spelling of 338663366833 in words is "three hundred thirty-eight billion, six hundred sixty-three million, three hundred sixty-six thousand, eight hundred thirty-three".