340615806129 has 45 divisors (see below), whose sum is σ = 537168068283. Its totient is φ = 215062741008.

The previous prime is 340615806107. The next prime is 340615806133. The reversal of 340615806129 is 921608516043.

The square root of 340615806129 is 583623.

It is a perfect power (a square), and thus also a powerful number.

340615806129 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 1 + 580 + 61 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 321335928225 + 19279877904 = 566865^2 + 138852^2 .

It is not a de Polignac number, because 340615806129 - 2⁹ = 340615805617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (340615806169) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 99797827 + ... + 99801239.

Almost surely, 2^340615806129 is an apocalyptic number.

340615806129 is the 583623-rd square number.

340615806129 is the 291812-nd centered octagonal number.

It is an amenable number.

340615806129 is a deficient number, since it is larger than the sum of its proper divisors (196552262154).

340615806129 is an frugal number, since it uses more digits than its factorization.

340615806129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 340615806129 in words is "three hundred forty billion, six hundred fifteen million, eight hundred six thousand, one hundred twenty-nine".