434414817117 has 32 divisors (see below), whose sum is σ = 677964672000. Its totient is φ = 274158814320.

The previous prime is 434414817113. The next prime is 434414817139. The reversal of 434414817117 is 711718414434.

It is a happy number.

434414817117 is a `hidden beast` number, since 43 + 4 + 414 + 81 + 7 + 117 = 666.

It is not a de Polignac number, because 434414817117 - 2² = 434414817113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434414817113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355642 + ... + 997652.

It is an arithmetic number, because the mean of its divisors is an integer number (21186396000).

Almost surely, 2^434414817117 is an apocalyptic number.

It is an amenable number.

434414817117 is a deficient number, since it is larger than the sum of its proper divisors (243549854883).

434414817117 is a wasteful number, since it uses less digits than its factorization.

434414817117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643358 (or 643352 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 434414817117 in words is "four hundred thirty-four billion, four hundred fourteen million, eight hundred seventeen thousand, one hundred seventeen".