264414343431 has 32 divisors (see below), whose sum is σ = 407976307200. Its totient is φ = 149201141760.

The previous prime is 264414343421. The next prime is 264414343483. The reversal of 264414343431 is 134343414462.

It is not a de Polignac number, because 264414343431 - 2¹⁵ = 264414310663 is a prime.

It is a super-2 number, since 2×264414343431² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264414343431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264414343421) 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 31 ways as a sum of consecutive naturals, for example, 1345276 + ... + 1529246.

It is an arithmetic number, because the mean of its divisors is an integer number (12749259600).

Almost surely, 2^264414343431 is an apocalyptic number.

264414343431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

264414343431 is a deficient number, since it is larger than the sum of its proper divisors (143561963769).

264414343431 is a wasteful number, since it uses less digits than its factorization.

264414343431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184839.

The product of its digits is 331776, while the sum is 39.

Adding to 264414343431 its reverse (134343414462), we get a palindrome (398757757893).

The spelling of 264414343431 in words is "two hundred sixty-four billion, four hundred fourteen million, three hundred forty-three thousand, four hundred thirty-one".