431564727427361 has 8 divisors (see below), whose sum is σ = 475651470905184. Its totient is φ = 388286915022720.

The previous prime is 431564727427343. The next prime is 431564727427397. The reversal of 431564727427361 is 163724727465134.

It is a happy number.

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 431564727427361 - 2¹⁴ = 431564727410977 is a prime.

It is a super-2 number, since 2×431564727427361² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431564727427294 and 431564727427303.

It is not an unprimeable number, because it can be changed into a prime (431564727427261) 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, 202232767175 + ... + 202232769308.

It is an arithmetic number, because the mean of its divisors is an integer number (59456433863148).

Almost surely, 2^{431564727427361} is an apocalyptic number.

It is an amenable number.

431564727427361 is a deficient number, since it is larger than the sum of its proper divisors (44086743477823).

431564727427361 is a wasteful number, since it uses less digits than its factorization.

431564727427361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404465536591.

The product of its digits is 142248960, while the sum is 62.

The spelling of 431564727427361 in words is "four hundred thirty-one trillion, five hundred sixty-four billion, seven hundred twenty-seven million, four hundred twenty-seven thousand, three hundred sixty-one".