138864947985 has 48 divisors (see below), whose sum is σ = 248476909824. Its totient is φ = 71698669056.

The previous prime is 138864947957. The next prime is 138864947999. The reversal of 138864947985 is 589749468831.

138864947985 is a `hidden beast` number, since 1 + 38 + 8 + 6 + 49 + 479 + 85 = 666.

138864947985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138864947985 - 2¹¹ = 138864945937 is a prime.

It is a super-3 number, since 3×138864947985³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 98889 + ... + 536198.

It is an arithmetic number, because the mean of its divisors is an integer number (5176602288).

Almost surely, 2^138864947985 is an apocalyptic number.

138864947985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138864947985 is a deficient number, since it is larger than the sum of its proper divisors (109611961839).

138864947985 is a wasteful number, since it uses less digits than its factorization.

138864947985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635254 (or 635251 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 138864947985 in words is "one hundred thirty-eight billion, eight hundred sixty-four million, nine hundred forty-seven thousand, nine hundred eighty-five".