13838668800 has 264 divisors, whose sum is σ = 49898523552. Its totient is φ = 3354624000.

The previous prime is 13838668757. The next prime is 13838668843. The reversal of 13838668800 is 886683831.

It is an interprime number because it is at equal distance from previous prime (13838668757) and next prime (13838668843).

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836610 + ... + 852990.

Almost surely, 2^13838668800 is an apocalyptic number.

13838668800 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 13838668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24949261776).

13838668800 is an abundant number, since it is smaller than the sum of its proper divisors (36059854752).

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

13838668800 is a wasteful number, since it uses less digits than its factorization.

13838668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16425 (or 16402 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 13838668800 in words is "thirteen billion, eight hundred thirty-eight million, six hundred sixty-eight thousand, eight hundred".