14426397293568 has 704 divisors, whose sum is σ = 45018324892800. Its totient is φ = 4067426304000.

The previous prime is 14426397293563. The next prime is 14426397293587. The reversal of 14426397293568 is 86539279362441.

It is a super-2 number, since 2×14426397293568² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14426397293563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4182775108 + ... + 4182778556.

Almost surely, 2^{14426397293568} 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 14426397293568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22509162446400).

14426397293568 is an abundant number, since it is smaller than the sum of its proper divisors (30591927599232).

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

14426397293568 is a wasteful number, since it uses less digits than its factorization.

14426397293568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3646 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 69.

The spelling of 14426397293568 in words is "fourteen trillion, four hundred twenty-six billion, three hundred ninety-seven million, two hundred ninety-three thousand, five hundred sixty-eight".