138671849796480 has 4608 divisors, whose sum is σ = 669777079495680. Its totient is φ = 25657697894400.

The previous prime is 138671849796461. The next prime is 138671849796497. The reversal of 138671849796480 is 84697948176831.

138671849796480 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 7 + 1 + 8 + 49 + 7 + 96 + 480 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138671849796480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 266164778620 + ... + 266164779140.

It is an arithmetic number, because the mean of its divisors is an integer number (145350928710).

Almost surely, 2^{138671849796480} is an apocalyptic number.

138671849796480 is a gapful number since it is divisible by the number (10) 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 138671849796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334888539747840).

138671849796480 is an abundant number, since it is smaller than the sum of its proper divisors (531105229699200).

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

138671849796480 is a wasteful number, since it uses less digits than its factorization.

138671849796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 138671849796480 in words is "one hundred thirty-eight trillion, six hundred seventy-one billion, eight hundred forty-nine million, seven hundred ninety-six thousand, four hundred eighty".