138379023904905 has 192 divisors, whose sum is σ = 293083363964160. Its totient is φ = 61746949555200.

The previous prime is 138379023904879. The next prime is 138379023904921. The reversal of 138379023904905 is 509409320973831.

138379023904905 is a `hidden beast` number, since 1 + 3 + 8 + 37 + 9 + 0 + 23 + 90 + 490 + 5 = 666.

It is not a de Polignac number, because 138379023904905 - 2¹⁰ = 138379023903881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51551557 + ... + 54169373.

It is an arithmetic number, because the mean of its divisors is an integer number (1526475853980).

Almost surely, 2^{138379023904905} is an apocalyptic number.

138379023904905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138379023904905 is an abundant number, since it is smaller than the sum of its proper divisors (154704340059255).

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

138379023904905 is a wasteful number, since it uses less digits than its factorization.

138379023904905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618037 (or 2618024 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 138379023904905 in words is "one hundred thirty-eight trillion, three hundred seventy-nine billion, twenty-three million, nine hundred four thousand, nine hundred five".