338100365676861 has 24 divisors (see below), whose sum is σ = 507800690552064. Its totient is φ = 216537083714880.

The previous prime is 338100365676779. The next prime is 338100365676869. The reversal of 338100365676861 is 168676563001833.

338100365676861 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 0 + 0 + 3 + 6 + 567 + 6 + 8 + 61 = 666.

It is not a de Polignac number, because 338100365676861 - 2¹⁹ = 338100365152573 is a prime.

It is a super-2 number, since 2×338100365676861² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338100365676869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4422696331 + ... + 4422772776.

It is an arithmetic number, because the mean of its divisors is an integer number (21158362106336).

Almost surely, 2^{338100365676861} is an apocalyptic number.

338100365676861 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

338100365676861 is a deficient number, since it is larger than the sum of its proper divisors (169700324875203).

338100365676861 is a wasteful number, since it uses less digits than its factorization.

338100365676861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8845469281 (or 8845469278 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 338100365676861 in words is "three hundred thirty-eight trillion, one hundred billion, three hundred sixty-five million, six hundred seventy-six thousand, eight hundred sixty-one".