434153201823 has 48 divisors (see below), whose sum is σ = 720607829760. Its totient is φ = 249107961600.

The previous prime is 434153201821. The next prime is 434153201857. The reversal of 434153201823 is 328102351434.

434153201823 is a `hidden beast` number, since 4 + 3 + 41 + 532 + 0 + 1 + 82 + 3 = 666.

It is not a de Polignac number, because 434153201823 - 2¹ = 434153201821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434153201821) 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 47 ways as a sum of consecutive naturals, for example, 2765815 + ... + 2918567.

It is an arithmetic number, because the mean of its divisors is an integer number (15012663120).

Almost surely, 2^434153201823 is an apocalyptic number.

434153201823 is a deficient number, since it is larger than the sum of its proper divisors (286454627937).

434153201823 is a wasteful number, since it uses less digits than its factorization.

434153201823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154300 (or 154297 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 434153201823 in words is "four hundred thirty-four billion, one hundred fifty-three million, two hundred one thousand, eight hundred twenty-three".