138384194616 has 384 divisors, whose sum is σ = 416145600000. Its totient is φ = 41384494080.

The previous prime is 138384194581. The next prime is 138384194623. The reversal of 138384194616 is 616491483831.

138384194616 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 8 + 4 + 19 + 4 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 444965101 + ... + 444965411.

It is an arithmetic number, because the mean of its divisors is an integer number (1083712500).

Almost surely, 2^138384194616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138384194616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208072800000).

138384194616 is an abundant number, since it is smaller than the sum of its proper divisors (277761405384).

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

138384194616 is a wasteful number, since it uses less digits than its factorization.

138384194616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 580 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 138384194616 in words is "one hundred thirty-eight billion, three hundred eighty-four million, one hundred ninety-four thousand, six hundred sixteen".