13368560744448 has 1920 divisors, whose sum is σ = 52611009010560. Its totient is φ = 3281875107840.

The previous prime is 13368560744437. The next prime is 13368560744479. The reversal of 13368560744448 is 84444706586331.

13368560744448 is a `hidden beast` number, since 1 + 3 + 3 + 68 + 5 + 60 + 74 + 4 + 448 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28999046938 + ... + 28999047398.

It is an arithmetic number, because the mean of its divisors is an integer number (27401567193).

Almost surely, 2^{13368560744448} is an apocalyptic number.

13368560744448 is a gapful number since it is divisible by the number (18) 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 13368560744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26305504505280).

13368560744448 is an abundant number, since it is smaller than the sum of its proper divisors (39242448266112).

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

13368560744448 is a wasteful number, since it uses less digits than its factorization.

13368560744448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 13368560744448 in words is "thirteen trillion, three hundred sixty-eight billion, five hundred sixty million, seven hundred forty-four thousand, four hundred forty-eight".