34234144113015 has 256 divisors, whose sum is σ = 78586321305600. Its totient is φ = 13720562956800.

The previous prime is 34234144112983. The next prime is 34234144113019. The reversal of 34234144113015 is 51031144143243.

34234144113015 is a `hidden beast` number, since 3 + 4 + 2 + 341 + 4 + 4 + 1 + 1 + 301 + 5 = 666.

It is not a de Polignac number, because 34234144113015 - 2⁵ = 34234144112983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34234144113019) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 260089870 + ... + 260221460.

It is an arithmetic number, because the mean of its divisors is an integer number (306977817600).

Almost surely, 2^{34234144113015} is an apocalyptic number.

34234144113015 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34234144113015 is an abundant number, since it is smaller than the sum of its proper divisors (44352177192585).

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

34234144113015 is a wasteful number, since it uses less digits than its factorization.

34234144113015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132515 (or 132509 counting only the distinct ones).

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

Adding to 34234144113015 its reverse (51031144143243), we get a palindrome (85265288256258).

The spelling of 34234144113015 in words is "thirty-four trillion, two hundred thirty-four billion, one hundred forty-four million, one hundred thirteen thousand, fifteen".