34211344311243 has 48 divisors (see below), whose sum is σ = 55312786653696. Its totient is φ = 20196775206720.

The previous prime is 34211344311241. The next prime is 34211344311259.

34211344311243 is a `hidden beast` number, since 3 + 4 + 211 + 3 + 4 + 431 + 1 + 2 + 4 + 3 = 666.

34211344311243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34211344311243 - 2¹ = 34211344311241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34211344311198 and 34211344311207.

It is not an unprimeable number, because it can be changed into a prime (34211344311241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9386580 + ... + 12511217.

It is an arithmetic number, because the mean of its divisors is an integer number (1152349721952).

Almost surely, 2^{34211344311243} is an apocalyptic number.

34211344311243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34211344311243 is a deficient number, since it is larger than the sum of its proper divisors (21101442342453).

34211344311243 is a wasteful number, since it uses less digits than its factorization.

34211344311243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21898224 (or 21898221 counting only the distinct ones).

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

It can be divided in two parts, 3421134 and 4311243, that added together give a palindrome (7732377).

The spelling of 34211344311243 in words is "thirty-four trillion, two hundred eleven billion, three hundred forty-four million, three hundred eleven thousand, two hundred forty-three".