34011411104223 has 64 divisors (see below), whose sum is σ = 57828320409600. Its totient is φ = 19353280665600.

The previous prime is 34011411104189. The next prime is 34011411104239. The reversal of 34011411104223 is 32240111411043.

It is a happy number.

34011411104223 is a `hidden beast` number, since 3 + 4 + 0 + 11 + 411 + 10 + 4 + 223 = 666.

It is not a de Polignac number, because 34011411104223 - 2⁶ = 34011411104159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34011411104273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47206015 + ... + 47921087.

It is an arithmetic number, because the mean of its divisors is an integer number (903567506400).

Almost surely, 2^{34011411104223} is an apocalyptic number.

34011411104223 is a deficient number, since it is larger than the sum of its proper divisors (23816909305377).

34011411104223 is a wasteful number, since it uses less digits than its factorization.

34011411104223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716149 (or 716143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 34011411104223 its reverse (32240111411043), we get a palindrome (66251522515266).

The spelling of 34011411104223 in words is "thirty-four trillion, eleven billion, four hundred eleven million, one hundred four thousand, two hundred twenty-three".