13655643148224 has 504 divisors, whose sum is σ = 49226643939200. Its totient is φ = 3542791633920.

The previous prime is 13655643148207. The next prime is 13655643148241. The reversal of 13655643148224 is 42284134655631.

It is a happy number.

13655643148224 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 564 + 31 + 48 + 2 + 2 + 4 = 666.

13655643148224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13655643148207) and next prime (13655643148241).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 430775127 + ... + 430806825.

Almost surely, 2^{13655643148224} is an apocalyptic number.

13655643148224 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 13655643148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24613321969600).

13655643148224 is an abundant number, since it is smaller than the sum of its proper divisors (35571000790976).

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

13655643148224 is a wasteful number, since it uses less digits than its factorization.

13655643148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32629 (or 32605 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 13655643148224 in words is "thirteen trillion, six hundred fifty-five billion, six hundred forty-three million, one hundred forty-eight thousand, two hundred twenty-four".