13218509196144 has 1280 divisors, whose sum is σ = 47099614003200. Its totient is φ = 3469964230656.

The previous prime is 13218509196121. The next prime is 13218509196163. The reversal of 13218509196144 is 44169190581231.

13218509196144 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 8 + 5 + 0 + 9 + 19 + 614 + 4 = 666.

It is a super-3 number, since 3×13218509196144³ (a number of 40 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28549695657 + ... + 28549696119.

It is an arithmetic number, because the mean of its divisors is an integer number (36796573440).

Almost surely, 2^{13218509196144} is an apocalyptic number.

13218509196144 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 13218509196144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23549807001600).

13218509196144 is an abundant number, since it is smaller than the sum of its proper divisors (33881104807056).

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

13218509196144 is a wasteful number, since it uses less digits than its factorization.

13218509196144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 13218509196144 in words is "thirteen trillion, two hundred eighteen billion, five hundred nine million, one hundred ninety-six thousand, one hundred forty-four".