13887282148992 has 384 divisors, whose sum is σ = 47690641987200. Its totient is φ = 3966783528960.

The previous prime is 13887282148967. The next prime is 13887282149009. The reversal of 13887282148992 is 29984128278831.

13887282148992 is a `hidden beast` number, since 1 + 38 + 8 + 7 + 2 + 8 + 21 + 489 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13887282148992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886169317 + ... + 886184987.

It is an arithmetic number, because the mean of its divisors is an integer number (124194380175).

Almost surely, 2^{13887282148992} is an apocalyptic number.

13887282148992 is a gapful number since it is divisible by the number (12) 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 13887282148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23845320993600).

13887282148992 is an abundant number, since it is smaller than the sum of its proper divisors (33803359838208).

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

13887282148992 is a wasteful number, since it uses less digits than its factorization.

13887282148992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20941 (or 20916 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 72.

The spelling of 13887282148992 in words is "thirteen trillion, eight hundred eighty-seven billion, two hundred eighty-two million, one hundred forty-eight thousand, nine hundred ninety-two".