13887646718400 has 6048 divisors, whose sum is σ = 70399293531840. Its totient is φ = 2559505858560.

The previous prime is 13887646718399. The next prime is 13887646718411. The reversal of 13887646718400 is 481764678831.

13887646718400 is a `hidden beast` number, since 1 + 38 + 87 + 64 + 67 + 1 + 8 + 400 = 666.

13887646718400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 167321044759 + ... + 167321044841.

It is an arithmetic number, because the mean of its divisors is an integer number (11640094830).

Almost surely, 2^{13887646718400} is an apocalyptic number.

13887646718400 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 13887646718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35199646765920).

13887646718400 is an abundant number, since it is smaller than the sum of its proper divisors (56511646813440).

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

13887646718400 is a wasteful number, since it uses less digits than its factorization.

13887646718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 13887646718400 in words is "thirteen trillion, eight hundred eighty-seven billion, six hundred forty-six million, seven hundred eighteen thousand, four hundred".