338968013441 has 16 divisors (see below), whose sum is σ = 340975483200. Its totient is φ = 336968805888.

The previous prime is 338968013411. The next prime is 338968013507. The reversal of 338968013441 is 144310869833.

It is a cyclic number.

It is not a de Polignac number, because 338968013441 - 2²⁶ = 338900904577 is a prime.

It is a super-2 number, since 2×338968013441² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 338968013441.

It is not an unprimeable number, because it can be changed into a prime (338968013401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208338470 + ... + 208340096.

It is an arithmetic number, because the mean of its divisors is an integer number (21310967700).

Almost surely, 2^338968013441 is an apocalyptic number.

It is an amenable number.

338968013441 is a deficient number, since it is larger than the sum of its proper divisors (2007469759).

338968013441 is a wasteful number, since it uses less digits than its factorization.

338968013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488.

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 338968013441 in words is "three hundred thirty-eight billion, nine hundred sixty-eight million, thirteen thousand, four hundred forty-one".