13242024198144 has 1440 divisors, whose sum is σ = 48331082612736. Its totient is φ = 3531582996480.

The previous prime is 13242024198107. The next prime is 13242024198157. The reversal of 13242024198144 is 44189142024231.

13242024198144 is a `hidden beast` number, since 1 + 3 + 2 + 420 + 24 + 198 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13242024198144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104267907009 + ... + 104267907135.

Almost surely, 2^{13242024198144} is an apocalyptic number.

13242024198144 is a gapful number since it is divisible by the number (14) 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 13242024198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165541306368).

13242024198144 is an abundant number, since it is smaller than the sum of its proper divisors (35089058414592).

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

13242024198144 is an frugal number, since it uses more digits than its factorization.

13242024198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13242024198144 in words is "thirteen trillion, two hundred forty-two billion, twenty-four million, one hundred ninety-eight thousand, one hundred forty-four".