434114331125 has 32 divisors (see below), whose sum is σ = 582205822848. Its totient is φ = 321983904000.

The previous prime is 434114331113. The next prime is 434114331137. The reversal of 434114331125 is 521133411434.

It is an interprime number because it is at equal distance from previous prime (434114331113) and next prime (434114331137).

It is not a de Polignac number, because 434114331125 - 2⁴ = 434114331109 is a prime.

It is a super-3 number, since 3×434114331125³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 434114331091 and 434114331100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1382171 + ... + 1666920.

It is an arithmetic number, because the mean of its divisors is an integer number (18193931964).

Almost surely, 2^434114331125 is an apocalyptic number.

It is an amenable number.

434114331125 is a deficient number, since it is larger than the sum of its proper divisors (148091491723).

434114331125 is a wasteful number, since it uses less digits than its factorization.

434114331125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049190 (or 3049180 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

Adding to 434114331125 its reverse (521133411434), we get a palindrome (955247742559).

The spelling of 434114331125 in words is "four hundred thirty-four billion, one hundred fourteen million, three hundred thirty-one thousand, one hundred twenty-five".