13884473088000 has 960 divisors, whose sum is σ = 51947442106560. Its totient is φ = 3688906752000.

The previous prime is 13884473087999. The next prime is 13884473088061. The reversal of 13884473088000 is 88037448831.

It is a happy number.

13884473088000 is a `hidden beast` number, since 13 + 8 + 84 + 473 + 0 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 6448894924 + ... + 6448897076.

It is an arithmetic number, because the mean of its divisors is an integer number (54111918861).

Almost surely, 2^{13884473088000} is an apocalyptic number.

13884473088000 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 13884473088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25973721053280).

13884473088000 is an abundant number, since it is smaller than the sum of its proper divisors (38062969018560).

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

13884473088000 is an equidigital number, since it uses as much as digits as its factorization.

13884473088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 13884473088000 in words is "thirteen trillion, eight hundred eighty-four billion, four hundred seventy-three million, eighty-eight thousand".