13644368336480 has 192 divisors, whose sum is σ = 38104432128000. Its totient is φ = 4518085478400.

The previous prime is 13644368336441. The next prime is 13644368336519. The reversal of 13644368336480 is 8463386344631.

It is an interprime number because it is at equal distance from previous prime (13644368336441) and next prime (13644368336519).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16931510 + ... + 17719050.

It is an arithmetic number, because the mean of its divisors is an integer number (198460584000).

Almost surely, 2^{13644368336480} is an apocalyptic number.

13644368336480 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 13644368336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19052216064000).

13644368336480 is an abundant number, since it is smaller than the sum of its proper divisors (24460063791520).

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

13644368336480 is a wasteful number, since it uses less digits than its factorization.

13644368336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788093 (or 788085 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 59.

The spelling of 13644368336480 in words is "thirteen trillion, six hundred forty-four billion, three hundred sixty-eight million, three hundred thirty-six thousand, four hundred eighty".