34412650450201 has 16 divisors (see below), whose sum is σ = 35964935660160. Its totient is φ = 32865051542400.

The previous prime is 34412650450177. The next prime is 34412650450207. The reversal of 34412650450201 is 10205405621443.

It is a cyclic number.

It is not a de Polignac number, because 34412650450201 - 2²¹ = 34412648353049 is a prime.

It is a super-2 number, since 2×34412650450201² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34412650450207) 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 15 ways as a sum of consecutive naturals, for example, 122442805 + ... + 122723533.

It is an arithmetic number, because the mean of its divisors is an integer number (2247808478760).

Almost surely, 2^{34412650450201} is an apocalyptic number.

It is an amenable number.

34412650450201 is a deficient number, since it is larger than the sum of its proper divisors (1552285209959).

34412650450201 is a wasteful number, since it uses less digits than its factorization.

34412650450201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289056.

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 34412650450201 in words is "thirty-four trillion, four hundred twelve billion, six hundred fifty million, four hundred fifty thousand, two hundred one".