338243163864 has 64 divisors (see below), whose sum is σ = 862035229440. Its totient is φ = 110559745920.

The previous prime is 338243163857. The next prime is 338243163871. The reversal of 338243163864 is 468361342833.

It is an interprime number because it is at equal distance from previous prime (338243163857) and next prime (338243163871).

It is a super-2 number, since 2×338243163864² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 2277399 + ... + 2421369.

It is an arithmetic number, because the mean of its divisors is an integer number (13469300460).

Almost surely, 2^338243163864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338243163864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431017614720).

338243163864 is an abundant number, since it is smaller than the sum of its proper divisors (523792065576).

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

338243163864 is a wasteful number, since it uses less digits than its factorization.

338243163864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145880 (or 145876 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 51.

The spelling of 338243163864 in words is "three hundred thirty-eight billion, two hundred forty-three million, one hundred sixty-three thousand, eight hundred sixty-four".