138317498635716 has 27 divisors (see below), whose sum is σ = 349636077702093. Its totient is φ = 46105809356880.

The previous prime is 138317498635633. The next prime is 138317498635721. The reversal of 138317498635716 is 617536894713831.

The square root of 138317498635716 is 11760846.

It is a perfect power (a square), and thus also a powerful number.

138317498635716 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 1 + 7 + 49 + 8 + 6 + 3 + 571 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102194994595716 + 36122504040000 = 10109154^2 + 6010200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69585006 + ... + 71545146.

Almost surely, 2^{138317498635716} is an apocalyptic number.

138317498635716 is the 11760846-th square number.

It is an amenable number.

138317498635716 is an abundant number, since it is smaller than the sum of its proper divisors (211318579066377).

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

138317498635716 is an frugal number, since it uses more digits than its factorization.

138317498635716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920292 (or 1960146 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 138317498635716 in words is "one hundred thirty-eight trillion, three hundred seventeen billion, four hundred ninety-eight million, six hundred thirty-five thousand, seven hundred sixteen".