138822356217600 has 540 divisors, whose sum is σ = 559952208030600. Its totient is φ = 33653903155200.

The previous prime is 138822356217551. The next prime is 138822356217631. The reversal of 138822356217600 is 6712653228831.

138822356217600 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 2 + 2 + 3 + 5 + 6 + 21 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6469875 + ... + 17874674.

It is an arithmetic number, because the mean of its divisors is an integer number (1036948533390).

Almost surely, 2^{138822356217600} is an apocalyptic number.

138822356217600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138822356217600 is an abundant number, since it is smaller than the sum of its proper divisors (421129851813000).

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

138822356217600 is a wasteful number, since it uses less digits than its factorization.

138822356217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24344598 (or 24344570 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 138822356217600 in words is "one hundred thirty-eight trillion, eight hundred twenty-two billion, three hundred fifty-six million, two hundred seventeen thousand, six hundred".