13351663644000 has 384 divisors, whose sum is σ = 47726838641664. Its totient is φ = 3236060160000.

The previous prime is 13351663643993. The next prime is 13351663644001. The reversal of 13351663644000 is 44636615331.

It is a super-2 number, since 2×13351663644000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13351663644001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 855484197 + ... + 855499803.

It is an arithmetic number, because the mean of its divisors is an integer number (124288642296).

Almost surely, 2^{13351663644000} is an apocalyptic number.

13351663644000 is a gapful number since it is divisible by the number (10) 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 13351663644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23863419320832).

13351663644000 is an abundant number, since it is smaller than the sum of its proper divisors (34375174997664).

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

13351663644000 is a wasteful number, since it uses less digits than its factorization.

13351663644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22127 (or 22109 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 13351663644000 in words is "thirteen trillion, three hundred fifty-one billion, six hundred sixty-three million, six hundred forty-four thousand".