34046566014305 has 32 divisors (see below), whose sum is σ = 44406650349600. Its totient is φ = 24908975511552.

The previous prime is 34046566014299. The next prime is 34046566014317. The reversal of 34046566014305 is 50341066564043.

It can be written as a sum of positive squares in 16 ways, for example, as 31729228129 + 34014836786176 = 178127^2 + 5832224^2 .

It is a cyclic number.

It is not a de Polignac number, because 34046566014305 - 2¹⁴ = 34046565997921 is a prime.

It is a super-4 number, since 4×34046566014305⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34046566014305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73659077 + ... + 74119853.

It is an arithmetic number, because the mean of its divisors is an integer number (1387707823425).

Almost surely, 2^{34046566014305} is an apocalyptic number.

It is an amenable number.

34046566014305 is a deficient number, since it is larger than the sum of its proper divisors (10360084335295).

34046566014305 is a wasteful number, since it uses less digits than its factorization.

34046566014305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471333.

The product of its (nonzero) digits is 3110400, while the sum is 47.

The spelling of 34046566014305 in words is "thirty-four trillion, forty-six billion, five hundred sixty-six million, fourteen thousand, three hundred five".