13622243328000 has 768 divisors, whose sum is σ = 49281166584000. Its totient is φ = 3620103782400.

The previous prime is 13622243327963. The next prime is 13622243328013. The reversal of 13622243328000 is 82334222631.

13622243328000 is a `hidden beast` number, since 1 + 3 + 622 + 2 + 4 + 3 + 3 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 16551935589 + ... + 16551936411.

Almost surely, 2^{13622243328000} is an apocalyptic number.

13622243328000 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 13622243328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24640583292000).

13622243328000 is an abundant number, since it is smaller than the sum of its proper divisors (35658923256000).

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

13622243328000 is an frugal number, since it uses more digits than its factorization.

13622243328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 13622243328000 in words is "thirteen trillion, six hundred twenty-two billion, two hundred forty-three million, three hundred twenty-eight thousand".