138814489908864 has 1024 divisors, whose sum is σ = 512735754240000. Its totient is φ = 35918652026880.

The previous prime is 138814489908823. The next prime is 138814489908869. The reversal of 138814489908864 is 468809984418831.

138814489908864 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 1 + 448 + 9 + 90 + 8 + 86 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (138814489908869) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136226191747 + ... + 136226192765.

It is an arithmetic number, because the mean of its divisors is an integer number (500718510000).

Almost surely, 2^{138814489908864} is an apocalyptic number.

138814489908864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138814489908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256367877120000).

138814489908864 is an abundant number, since it is smaller than the sum of its proper divisors (373921264331136).

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

138814489908864 is a wasteful number, since it uses less digits than its factorization.

138814489908864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 3057647616, while the sum is 81.

The spelling of 138814489908864 in words is "one hundred thirty-eight trillion, eight hundred fourteen billion, four hundred eighty-nine million, nine hundred eight thousand, eight hundred sixty-four".