34011366311043 has 12 divisors (see below), whose sum is σ = 53593668126648. Its totient is φ = 20612949279360.

The previous prime is 34011366311029. The next prime is 34011366311051.

34011366311043 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 1 + 3 + 6 + 631 + 10 + 4 + 3 = 666.

34011366311043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34011366311043 - 2⁴¹ = 31812343055491 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34011366310989 and 34011366311007.

It is not an unprimeable number, because it can be changed into a prime (34011366311063) 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 11 ways as a sum of consecutive naturals, for example, 171774577230 + ... + 171774577427.

It is an arithmetic number, because the mean of its divisors is an integer number (4466139010554).

Almost surely, 2^{34011366311043} is an apocalyptic number.

34011366311043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34011366311043 is a deficient number, since it is larger than the sum of its proper divisors (19582301815605).

34011366311043 is a wasteful number, since it uses less digits than its factorization.

34011366311043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343549154674 (or 343549154671 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 3401136 and 6311043, that added together give a palindrome (9712179).

The spelling of 34011366311043 in words is "thirty-four trillion, eleven billion, three hundred sixty-six million, three hundred eleven thousand, forty-three".