13842144691200 has 1386 divisors, whose sum is σ = 59847092323866. Its totient is φ = 3163709767680.

The previous prime is 13842144691183. The next prime is 13842144691201. The reversal of 13842144691200 is 219644124831.

13842144691200 is a `hidden beast` number, since 1 + 3 + 8 + 421 + 44 + 69 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1238395060224 + 12603749630976 = 1112832^2 + 3550176^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13842144691201) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 914450032 + ... + 914465168.

Almost surely, 2^{13842144691200} is an apocalyptic number.

13842144691200 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 13842144691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29923546161933).

13842144691200 is an abundant number, since it is smaller than the sum of its proper divisors (46004947632666).

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

13842144691200 is an equidigital number, since it uses as much as digits as its factorization.

13842144691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15199 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 13842144691200 in words is "thirteen trillion, eight hundred forty-two billion, one hundred forty-four million, six hundred ninety-one thousand, two hundred".