13722281049600 has 2880 divisors, whose sum is σ = 56849586393600. Its totient is φ = 3142688440320.

The previous prime is 13722281049599. The next prime is 13722281049643. The reversal of 13722281049600 is 694018222731.

13722281049600 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 2 + 28 + 10 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×13722281049600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 98721446331 + ... + 98721446469.

It is an arithmetic number, because the mean of its divisors is an integer number (19739439720).

Almost surely, 2^{13722281049600} is an apocalyptic number.

13722281049600 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 13722281049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28424793196800).

13722281049600 is an abundant number, since it is smaller than the sum of its proper divisors (43127305344000).

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

13722281049600 is a wasteful number, since it uses less digits than its factorization.

13722281049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13722281049600 in words is "thirteen trillion, seven hundred twenty-two billion, two hundred eighty-one million, forty-nine thousand, six hundred".