13336473949344 has 288 divisors, whose sum is σ = 46681821897984. Its totient is φ = 3516998123520.

The previous prime is 13336473949289. The next prime is 13336473949369. The reversal of 13336473949344 is 44394937463331.

13336473949344 is a `hidden beast` number, since 1 + 3 + 3 + 36 + 4 + 73 + 9 + 493 + 44 = 666.

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

It is a super-2 number, since 2×13336473949344² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530201472 + ... + 530226624.

It is an arithmetic number, because the mean of its divisors is an integer number (162089659368).

Almost surely, 2^{13336473949344} is an apocalyptic number.

13336473949344 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 13336473949344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340910948992).

13336473949344 is an abundant number, since it is smaller than the sum of its proper divisors (33345347948640).

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

13336473949344 is a wasteful number, since it uses less digits than its factorization.

13336473949344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45420 (or 45409 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 63.

The spelling of 13336473949344 in words is "thirteen trillion, three hundred thirty-six billion, four hundred seventy-three million, nine hundred forty-nine thousand, three hundred forty-four".