34214051334201 has 16 divisors (see below), whose sum is σ = 48302308411200. Its totient is φ = 21467587478528.

The previous prime is 34214051334187. The next prime is 34214051334283. The reversal of 34214051334201 is 10243315041243.

It is a cyclic number.

It is not a de Polignac number, because 34214051334201 - 2⁶ = 34214051334137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34214051334101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38245345 + ... + 39129713.

It is an arithmetic number, because the mean of its divisors is an integer number (3018894275700).

Almost surely, 2^{34214051334201} is an apocalyptic number.

It is an amenable number.

34214051334201 is a deficient number, since it is larger than the sum of its proper divisors (14088257076999).

34214051334201 is a wasteful number, since it uses less digits than its factorization.

34214051334201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642968.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 34214051334201 its reverse (10243315041243), we get a palindrome (44457366375444).

The spelling of 34214051334201 in words is "thirty-four trillion, two hundred fourteen billion, fifty-one million, three hundred thirty-four thousand, two hundred one".