34364411446343 has 6 divisors (see below), whose sum is σ = 37772452251072. Its totient is φ = 31240374042020.

The previous prime is 34364411446319. The next prime is 34364411446411.

34364411446343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34364411446343 - 2⁸ = 34364411446087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34364411446291 and 34364411446300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364411446243) 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 5 ways as a sum of consecutive naturals, for example, 142001700071 + ... + 142001700312.

It is an arithmetic number, because the mean of its divisors is an integer number (6295408708512).

Almost surely, 2^{34364411446343} is an apocalyptic number.

34364411446343 is a deficient number, since it is larger than the sum of its proper divisors (3408040804729).

34364411446343 is a wasteful number, since it uses less digits than its factorization.

34364411446343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284003400405 (or 284003400394 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 50.

The spelling of 34364411446343 in words is "thirty-four trillion, three hundred sixty-four billion, four hundred eleven million, four hundred forty-six thousand, three hundred forty-three".