434134262017105 has 16 divisors (see below), whose sum is σ = 561035720322000. Its totient is φ = 320591069872128.

The previous prime is 434134262017081. The next prime is 434134262017111. The reversal of 434134262017105 is 501710262431434.

It can be written as a sum of positive squares in 8 ways, for example, as 68495883698176 + 365638378318929 = 8276224^2 + 19121673^2 .

It is a cyclic number.

It is not a de Polignac number, because 434134262017105 - 2²⁵ = 434134228462673 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57770769 + ... + 64851601.

It is an arithmetic number, because the mean of its divisors is an integer number (35064732520125).

Almost surely, 2^{434134262017105} is an apocalyptic number.

It is an amenable number.

434134262017105 is a deficient number, since it is larger than the sum of its proper divisors (126901458304895).

434134262017105 is a wasteful number, since it uses less digits than its factorization.

434134262017105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024100.

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 434134262017105 in words is "four hundred thirty-four trillion, one hundred thirty-four billion, two hundred sixty-two million, seventeen thousand, one hundred five".