338391142047 has 32 divisors (see below), whose sum is σ = 578610063360. Its totient is φ = 191451837600.

The previous prime is 338391142009. The next prime is 338391142069. The reversal of 338391142047 is 740241193833.

338391142047 is a `hidden beast` number, since 3 + 383 + 91 + 142 + 0 + 47 = 666.

It is not a de Polignac number, because 338391142047 - 2²⁰ = 338390093471 is a prime.

It is a super-2 number, since 2×338391142047² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338391141993 and 338391142011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338391142247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8844423 + ... + 8882600.

It is an arithmetic number, because the mean of its divisors is an integer number (18081564480).

Almost surely, 2^338391142047 is an apocalyptic number.

338391142047 is a deficient number, since it is larger than the sum of its proper divisors (240218921313).

338391142047 is a wasteful number, since it uses less digits than its factorization.

338391142047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17727140 (or 17727134 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 338391142047 in words is "three hundred thirty-eight billion, three hundred ninety-one million, one hundred forty-two thousand, forty-seven".