34166222251 has 16 divisors (see below), whose sum is σ = 39258648000. Its totient is φ = 29126965248.

The previous prime is 34166222227. The next prime is 34166222273. The reversal of 34166222251 is 15222266143.

It is a cyclic number.

It is not a de Polignac number, because 34166222251 - 2²³ = 34157833643 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34166225251) 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, 1503925 + ... + 1526473.

It is an arithmetic number, because the mean of its divisors is an integer number (2453665500).

Almost surely, 2^34166222251 is an apocalyptic number.

34166222251 is a deficient number, since it is larger than the sum of its proper divisors (5092425749).

34166222251 is a wasteful number, since it uses less digits than its factorization.

34166222251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23718.

The product of its digits is 34560, while the sum is 34.

Adding to 34166222251 its reverse (15222266143), we get a palindrome (49388488394).

The spelling of 34166222251 in words is "thirty-four billion, one hundred sixty-six million, two hundred twenty-two thousand, two hundred fifty-one".