34164212129 has 24 divisors (see below), whose sum is σ = 37477130760. Its totient is φ = 31035156480.

The previous prime is 34164212087. The next prime is 34164212141. The reversal of 34164212129 is 92121246143.

It can be written as a sum of positive squares in 4 ways, for example, as 6224421025 + 27939791104 = 78895^2 + 167152^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34164212129 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34164212629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6679277 + ... + 6684389.

It is an arithmetic number, because the mean of its divisors is an integer number (1561547115).

Almost surely, 2^34164212129 is an apocalyptic number.

It is an amenable number.

34164212129 is a deficient number, since it is larger than the sum of its proper divisors (3312918631).

34164212129 is a wasteful number, since it uses less digits than its factorization.

34164212129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5570 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The spelling of 34164212129 in words is "thirty-four billion, one hundred sixty-four million, two hundred twelve thousand, one hundred twenty-nine".