138672018773361 has 48 divisors (see below), whose sum is σ = 203837598619200. Its totient is φ = 90824566783104.

The previous prime is 138672018773347. The next prime is 138672018773389. The reversal of 138672018773361 is 163377810276831.

138672018773361 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 7 + 20 + 187 + 73 + 361 = 666.

It is not a de Polignac number, because 138672018773361 - 2⁶ = 138672018773297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138672018773311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2765285290 + ... + 2765335436.

It is an arithmetic number, because the mean of its divisors is an integer number (4246616637900).

Almost surely, 2^{138672018773361} is an apocalyptic number.

It is an amenable number.

138672018773361 is a deficient number, since it is larger than the sum of its proper divisors (65165579845839).

138672018773361 is a wasteful number, since it uses less digits than its factorization.

138672018773361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62398 (or 62395 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 138672018773361 in words is "one hundred thirty-eight trillion, six hundred seventy-two billion, eighteen million, seven hundred seventy-three thousand, three hundred sixty-one".