434123757044285 has 64 divisors (see below), whose sum is σ = 675913897451520. Its totient is φ = 259726171326720.

The previous prime is 434123757044251. The next prime is 434123757044287. The reversal of 434123757044285 is 582440757321434.

It is not a de Polignac number, because 434123757044285 - 2¹² = 434123757040189 is a prime.

It is a super-2 number, since 2×434123757044285² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434123757044287) 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 63 ways as a sum of consecutive naturals, for example, 114550289 + ... + 118279398.

It is an arithmetic number, because the mean of its divisors is an integer number (10561154647680).

Almost surely, 2^{434123757044285} is an apocalyptic number.

It is an amenable number.

434123757044285 is a deficient number, since it is larger than the sum of its proper divisors (241790140407235).

434123757044285 is a wasteful number, since it uses less digits than its factorization.

434123757044285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232829906.

The product of its (nonzero) digits is 90316800, while the sum is 59.

The spelling of 434123757044285 in words is "four hundred thirty-four trillion, one hundred twenty-three billion, seven hundred fifty-seven million, forty-four thousand, two hundred eighty-five".