138214445344866 has 144 divisors (see below), whose sum is σ = 336546104457888. Its totient is φ = 40992018384240.

The previous prime is 138214445344849. The next prime is 138214445344873. The reversal of 138214445344866 is 668443544412831.

It is a happy number.

138214445344866 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 14 + 4 + 4 + 534 + 4 + 86 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51617421 + ... + 54229023.

It is an arithmetic number, because the mean of its divisors is an integer number (2337125725402).

Almost surely, 2^{138214445344866} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138214445344866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168273052228944).

138214445344866 is an abundant number, since it is smaller than the sum of its proper divisors (198331659113022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138214445344866 is a wasteful number, since it uses less digits than its factorization.

138214445344866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611738 (or 2611666 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 63.

The spelling of 138214445344866 in words is "one hundred thirty-eight trillion, two hundred fourteen billion, four hundred forty-five million, three hundred forty-four thousand, eight hundred sixty-six".