34243054120116 has 96 divisors (see below), whose sum is σ = 91680485657600. Its totient is φ = 11041520158080.

The previous prime is 34243054120109. The next prime is 34243054120117. The reversal of 34243054120116 is 61102145034243.

34243054120116 is a `hidden beast` number, since 3 + 4 + 2 + 430 + 5 + 4 + 1 + 201 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34243054120117) 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 31 ways as a sum of consecutive naturals, for example, 5857746 + ... + 10138998.

Almost surely, 2^{34243054120116} is an apocalyptic number.

34243054120116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34243054120116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45840242828800).

34243054120116 is an abundant number, since it is smaller than the sum of its proper divisors (57437431537484).

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

34243054120116 is a wasteful number, since it uses less digits than its factorization.

34243054120116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283686 (or 4283678 counting only the distinct ones).

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

Adding to 34243054120116 its reverse (61102145034243), we get a palindrome (95345199154359).

The spelling of 34243054120116 in words is "thirty-four trillion, two hundred forty-three billion, fifty-four million, one hundred twenty thousand, one hundred sixteen".