13852214611200 has 3888 divisors, whose sum is σ = 65088930291840. Its totient is φ = 2844886302720.

The previous prime is 13852214611187. The next prime is 13852214611219. The reversal of 13852214611200 is 211641225831.

13852214611200 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 2 + 2 + 14 + 611 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 155642860756 + ... + 155642860844.

Almost surely, 2^{13852214611200} is an apocalyptic number.

13852214611200 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 13852214611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32544465145920).

13852214611200 is an abundant number, since it is smaller than the sum of its proper divisors (51236715680640).

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

13852214611200 is an equidigital number, since it uses as much as digits as its factorization.

13852214611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 13852214611200 in words is "thirteen trillion, eight hundred fifty-two billion, two hundred fourteen million, six hundred eleven thousand, two hundred".