338157822681 has 128 divisors (see below), whose sum is σ = 604781199360. Its totient is φ = 182717773056.

The previous prime is 338157822631. The next prime is 338157822731. The reversal of 338157822681 is 186228751833.

338157822681 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 578 + 2 + 2 + 68 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (338157822631) and next prime (338157822731).

It is not a de Polignac number, because 338157822681 - 2³⁰ = 337084080857 is a prime.

It is a super-2 number, since 2×338157822681² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (338157822631) 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 127 ways as a sum of consecutive naturals, for example, 39653040 + ... + 39661566.

It is an arithmetic number, because the mean of its divisors is an integer number (4724853120).

Almost surely, 2^338157822681 is an apocalyptic number.

It is an amenable number.

338157822681 is a deficient number, since it is larger than the sum of its proper divisors (266623376679).

338157822681 is a wasteful number, since it uses less digits than its factorization.

338157822681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8740 (or 8734 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 338157822681 in words is "three hundred thirty-eight billion, one hundred fifty-seven million, eight hundred twenty-two thousand, six hundred eighty-one".