338000572949 has 16 divisors (see below), whose sum is σ = 364759219440. Its totient is φ = 311350970880.

The previous prime is 338000572927. The next prime is 338000572967. The reversal of 338000572949 is 949275000833.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9966028900 + 328034544049 = 99830^2 + 572743^2 .

It is a cyclic number.

It is not a de Polignac number, because 338000572949 - 2¹² = 338000568853 is a prime.

It is a super-2 number, since 2×338000572949² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 338000572897 and 338000572906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338000572549) 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, 12996539 + ... + 13022519.

It is an arithmetic number, because the mean of its divisors is an integer number (22797451215).

Almost surely, 2^338000572949 is an apocalyptic number.

It is an amenable number.

338000572949 is a deficient number, since it is larger than the sum of its proper divisors (26758646491).

338000572949 is a wasteful number, since it uses less digits than its factorization.

338000572949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28040.

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 338000572949 in words is "three hundred thirty-eight billion, five hundred seventy-two thousand, nine hundred forty-nine".