14401713811681 has 45 divisors (see below), whose sum is σ = 17164118211471. Its totient is φ = 12048660868608.

The previous prime is 14401713811631. The next prime is 14401713811687. The reversal of 14401713811681 is 18611831710441.

The square root of 14401713811681 is 3794959.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4572134445025 + 9829579366656 = 2138255^2 + 3135216^2 .

It is not a de Polignac number, because 14401713811681 - 2¹⁹ = 14401713287393 is a prime.

It is a super-2 number, since 2×14401713811681² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14401713811687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74620278721 + ... + 74620278913.

Almost surely, 2^{14401713811681} is an apocalyptic number.

14401713811681 is the 3794959-th square number.

14401713811681 is the 1897480-th centered octagonal number.

It is an amenable number.

14401713811681 is a deficient number, since it is larger than the sum of its proper divisors (2762404399790).

14401713811681 is an frugal number, since it uses more digits than its factorization.

14401713811681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 46.

The spelling of 14401713811681 in words is "fourteen trillion, four hundred one billion, seven hundred thirteen million, eight hundred eleven thousand, six hundred eighty-one".