13557932223264 has 288 divisors, whose sum is σ = 45711392126400. Its totient is φ = 3757634426880.

The previous prime is 13557932223239. The next prime is 13557932223349. The reversal of 13557932223264 is 46232223975531.

13557932223264 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 7 + 93 + 222 + 326 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13557932223264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2978947 + ... + 5999165.

It is an arithmetic number, because the mean of its divisors is an integer number (158720111550).

Almost surely, 2^{13557932223264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13557932223264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855696063200).

13557932223264 is an abundant number, since it is smaller than the sum of its proper divisors (32153459903136).

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

13557932223264 is a wasteful number, since it uses less digits than its factorization.

13557932223264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020368 (or 3020357 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 13557932223264 in words is "thirteen trillion, five hundred fifty-seven billion, nine hundred thirty-two million, two hundred twenty-three thousand, two hundred sixty-four".