34164022046143 has 8 divisors (see below), whose sum is σ = 37281285268560. Its totient is φ = 31048665996480.

The previous prime is 34164022046137. The next prime is 34164022046149.

34164022046143 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34164022046137) and next prime (34164022046149).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34164022046143 - 2⁴¹ = 31964998790591 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34164022046096 and 34164022046105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34164022046149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476755728 + ... + 476827381.

It is an arithmetic number, because the mean of its divisors is an integer number (4660160658570).

Almost surely, 2^{34164022046143} is an apocalyptic number.

34164022046143 is a deficient number, since it is larger than the sum of its proper divisors (3117263222417).

34164022046143 is a wasteful number, since it uses less digits than its factorization.

34164022046143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953586377.

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 34164022046143 in words is "thirty-four trillion, one hundred sixty-four billion, twenty-two million, forty-six thousand, one hundred forty-three".