34224113493 has 16 divisors (see below), whose sum is σ = 51151088640. Its totient is φ = 22614161472.

The previous prime is 34224113477. The next prime is 34224113579. The reversal of 34224113493 is 39431142243.

34224113493 is a `hidden beast` number, since 34 + 2 + 24 + 113 + 493 = 666.

It is not a de Polignac number, because 34224113493 - 2⁴ = 34224113477 is a prime.

It is a super-2 number, since 2×34224113493² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34224113453) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5605621 + ... + 5611722.

It is an arithmetic number, because the mean of its divisors is an integer number (3196943040).

Almost surely, 2^34224113493 is an apocalyptic number.

It is an amenable number.

34224113493 is a deficient number, since it is larger than the sum of its proper divisors (16926975147).

34224113493 is a wasteful number, since it uses less digits than its factorization.

34224113493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11217465 (or 11217459 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 34224113493 in words is "thirty-four billion, two hundred twenty-four million, one hundred thirteen thousand, four hundred ninety-three".