13423437605664 has 288 divisors, whose sum is σ = 39679468920000. Its totient is φ = 4299421980672.

The previous prime is 13423437605623. The next prime is 13423437605681. The reversal of 13423437605664 is 46650673432431.

It is a happy number.

13423437605664 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 4 + 3 + 76 + 0 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13423437605664² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13423437605664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594417647 + ... + 1594426065.

It is an arithmetic number, because the mean of its divisors is an integer number (137775933750).

Almost surely, 2^{13423437605664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13423437605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839734460000).

13423437605664 is an abundant number, since it is smaller than the sum of its proper divisors (26256031314336).

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

13423437605664 is a wasteful number, since it uses less digits than its factorization.

13423437605664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9360 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 13423437605664 in words is "thirteen trillion, four hundred twenty-three billion, four hundred thirty-seven million, six hundred five thousand, six hundred sixty-four".