338742247833 has 32 divisors (see below), whose sum is σ = 548079851520. Its totient is φ = 205066720080.

The previous prime is 338742247801. The next prime is 338742247873.

It is a happy number.

338742247833 is a `hidden beast` number, since 3 + 387 + 4 + 224 + 7 + 8 + 33 = 666.

338742247833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338742247833 - 2⁵ = 338742247801 is a prime.

It is a super-2 number, since 2×338742247833² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338742247833.

It is not an unprimeable number, because it can be changed into a prime (338742247873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379485 + ... + 906362.

It is an arithmetic number, because the mean of its divisors is an integer number (17127495360).

Almost surely, 2^338742247833 is an apocalyptic number.

338742247833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

338742247833 is a deficient number, since it is larger than the sum of its proper divisors (209337603687).

338742247833 is a wasteful number, since it uses less digits than its factorization.

338742247833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286754 (or 1286748 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 338742247833 in words is "three hundred thirty-eight billion, seven hundred forty-two million, two hundred forty-seven thousand, eight hundred thirty-three".