13664243370960 has 480 divisors, whose sum is σ = 57856417452288. Its totient is φ = 2812687441920.

The previous prime is 13664243370929. The next prime is 13664243370961. The reversal of 13664243370960 is 6907334246631.

It is a happy number.

13664243370960 is a `hidden beast` number, since 1 + 3 + 66 + 424 + 3 + 3 + 70 + 96 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13664243370897 and 13664243370906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13664243370961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143019 + ... + 5229621.

Almost surely, 2^{13664243370960} is an apocalyptic number.

13664243370960 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 13664243370960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28928208726144).

13664243370960 is an abundant number, since it is smaller than the sum of its proper divisors (44192174081328).

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

13664243370960 is a wasteful number, since it uses less digits than its factorization.

13664243370960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086683 (or 5086674 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 13664243370960 in words is "thirteen trillion, six hundred sixty-four billion, two hundred forty-three million, three hundred seventy thousand, nine hundred sixty".