431414013122334 has 48 divisors (see below), whose sum is σ = 1020032574737904. Its totient is φ = 130689631238400.

The previous prime is 431414013122297. The next prime is 431414013122357. The reversal of 431414013122334 is 433221310414134.

431414013122334 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 1 + 4 + 0 + 1 + 312 + 2 + 334 = 666.

It is a super-2 number, since 2×431414013122334² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348446229 + ... + 349682144.

It is an arithmetic number, because the mean of its divisors is an integer number (21250678640373).

Almost surely, 2^{431414013122334} is an apocalyptic number.

431414013122334 is an abundant number, since it is smaller than the sum of its proper divisors (588618561615570).

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

431414013122334 is a wasteful number, since it uses less digits than its factorization.

431414013122334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698131513 (or 698131510 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 431414013122334 its reverse (433221310414134), we get a palindrome (864635323536468).

The spelling of 431414013122334 in words is "four hundred thirty-one trillion, four hundred fourteen billion, thirteen million, one hundred twenty-two thousand, three hundred thirty-four".