338977779833 has 16 divisors (see below), whose sum is σ = 424305423360. Its totient is φ = 263086170000.

The previous prime is 338977779799. The next prime is 338977779853.

338977779833 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 338977779833 - 2⁶ = 338977779769 is a prime.

It is a super-2 number, since 2×338977779833² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338977779853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8750213 + ... + 8788866.

It is an arithmetic number, because the mean of its divisors is an integer number (26519088960).

Almost surely, 2^338977779833 is an apocalyptic number.

It is an amenable number.

338977779833 is a deficient number, since it is larger than the sum of its proper divisors (85327643527).

338977779833 is a wasteful number, since it uses less digits than its factorization.

338977779833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17539348.

The product of its digits is 1008189504, while the sum is 74.

The spelling of 338977779833 in words is "three hundred thirty-eight billion, nine hundred seventy-seven million, seven hundred seventy-nine thousand, eight hundred thirty-three".