13665240458496 has 648 divisors, whose sum is σ = 45325863928800. Its totient is φ = 3922159288320.

The previous prime is 13665240458473. The next prime is 13665240458543. The reversal of 13665240458496 is 69485404256631.

It is a happy number.

13665240458496 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 5 + 2 + 40 + 4 + 584 + 9 + 6 = 666.

13665240458496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2064544275 + ... + 2064550893.

Almost surely, 2^{13665240458496} is an apocalyptic number.

13665240458496 is a gapful number since it is divisible by the number (16) 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 13665240458496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22662931964400).

13665240458496 is an abundant number, since it is smaller than the sum of its proper divisors (31660623470304).

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

13665240458496 is a wasteful number, since it uses less digits than its factorization.

13665240458496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 13665240458496 in words is "thirteen trillion, six hundred sixty-five billion, two hundred forty million, four hundred fifty-eight thousand, four hundred ninety-six".