34026122162043 has 48 divisors (see below), whose sum is σ = 56042439957504. Its totient is φ = 19692023873280.

The previous prime is 34026122162041. The next prime is 34026122162051.

34026122162043 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 6 + 1 + 2 + 21 + 620 + 4 + 3 = 666.

34026122162043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34026122162043 - 2¹ = 34026122162041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34026122161989 and 34026122162007.

It is not an unprimeable number, because it can be changed into a prime (34026122162041) 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 47 ways as a sum of consecutive naturals, for example, 11249571 + ... + 13950092.

It is an arithmetic number, because the mean of its divisors is an integer number (1167550832448).

Almost surely, 2^{34026122162043} is an apocalyptic number.

34026122162043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34026122162043 is a deficient number, since it is larger than the sum of its proper divisors (22016317795461).

34026122162043 is a wasteful number, since it uses less digits than its factorization.

34026122162043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25200296 (or 25200293 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 3402612 and 2162043, that added together give a palindrome (5564655).

The spelling of 34026122162043 in words is "thirty-four trillion, twenty-six billion, one hundred twenty-two million, one hundred sixty-two thousand, forty-three".