434334134112 has 48 divisors (see below), whose sum is σ = 1140214203072. Its totient is φ = 144766984320.

The previous prime is 434334134051. The next prime is 434334134173. The reversal of 434334134112 is 211431433434.

It is an interprime number because it is at equal distance from previous prime (434334134051) and next prime (434334134173).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×434334134112² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1142187 + ... + 1474197.

It is an arithmetic number, because the mean of its divisors is an integer number (23754462564).

Almost surely, 2^434334134112 is an apocalyptic number.

It is an amenable number.

434334134112 is an abundant number, since it is smaller than the sum of its proper divisors (705880068960).

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

434334134112 is a wasteful number, since it uses less digits than its factorization.

434334134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345651 (or 345643 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 434334134112 its reverse (211431433434), we get a palindrome (645765567546).

The spelling of 434334134112 in words is "four hundred thirty-four billion, three hundred thirty-four million, one hundred thirty-four thousand, one hundred twelve".