14427664079664 has 160 divisors (see below), whose sum is σ = 41479308440064. Its totient is φ = 4284661155840.

The previous prime is 14427664079659. The next prime is 14427664079683. The reversal of 14427664079664 is 46697046672441.

It is a happy number.

It is a super-2 number, since 2×14427664079664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 14427664079595 and 14427664079604.

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, 4859317 + ... + 7243499.

Almost surely, 2^{14427664079664} 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 14427664079664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20739654220032).

14427664079664 is an abundant number, since it is smaller than the sum of its proper divisors (27051644360400).

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

14427664079664 is a wasteful number, since it uses less digits than its factorization.

14427664079664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384435 (or 2384429 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 66.

The spelling of 14427664079664 in words is "fourteen trillion, four hundred twenty-seven billion, six hundred sixty-four million, seventy-nine thousand, six hundred sixty-four".