13887217865448 has 128 divisors (see below), whose sum is σ = 38965086720000. Its totient is φ = 4582566830016.

The previous prime is 13887217865441. The next prime is 13887217865513. The reversal of 13887217865448 is 84456871278831.

13887217865448 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 7 + 2 + 1 + 78 + 6 + 544 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13887217865441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7816743 + ... + 9427401.

It is an arithmetic number, because the mean of its divisors is an integer number (304414740000).

Almost surely, 2^{13887217865448} is an apocalyptic number.

13887217865448 is a gapful number since it is divisible by the number (18) 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 13887217865448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19482543360000).

13887217865448 is an abundant number, since it is smaller than the sum of its proper divisors (25077868854552).

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

13887217865448 is a wasteful number, since it uses less digits than its factorization.

13887217865448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611076 (or 1611066 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 13887217865448 in words is "thirteen trillion, eight hundred eighty-seven billion, two hundred seventeen million, eight hundred sixty-five thousand, four hundred forty-eight".