14759783438401 has 8 divisors (see below), whose sum is σ = 14849400281480. Its totient is φ = 14670302072832.

The previous prime is 14759783438363. The next prime is 14759783438423. The reversal of 14759783438401 is 10483438795741.

It can be written as a sum of positive squares in 4 ways, for example, as 398533377025 + 14361250061376 = 631295^2 + 3789624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14759783438401 - 2¹¹ = 14759783436353 is a prime.

It is a super-2 number, since 2×14759783438401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14759783438441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33650820 + ... + 34086613.

It is an arithmetic number, because the mean of its divisors is an integer number (1856175035185).

Almost surely, 2^{14759783438401} is an apocalyptic number.

It is an amenable number.

14759783438401 is a deficient number, since it is larger than the sum of its proper divisors (89616843079).

14759783438401 is a wasteful number, since it uses less digits than its factorization.

14759783438401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67738755.

The product of its (nonzero) digits is 81285120, while the sum is 64.

The spelling of 14759783438401 in words is "fourteen trillion, seven hundred fifty-nine billion, seven hundred eighty-three million, four hundred thirty-eight thousand, four hundred one".