13882120642368 has 224 divisors, whose sum is σ = 47139822529920. Its totient is φ = 3959250001920.

The previous prime is 13882120642343. The next prime is 13882120642409. The reversal of 13882120642368 is 86324602128831.

13882120642368 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 2 + 1 + 206 + 423 + 6 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 21157171 + ... + 21803442.

Almost surely, 2^{13882120642368} is an apocalyptic number.

13882120642368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13882120642368 is an abundant number, since it is smaller than the sum of its proper divisors (33257701887552).

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

13882120642368 is a wasteful number, since it uses less digits than its factorization.

13882120642368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42960662 (or 42960646 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 13882120642368 in words is "thirteen trillion, eight hundred eighty-two billion, one hundred twenty million, six hundred forty-two thousand, three hundred sixty-eight".