34214555541243 has 32 divisors (see below), whose sum is σ = 57170839398912. Its totient is φ = 17681702860800.

The previous prime is 34214555541239. The next prime is 34214555541263.

It is a happy number.

34214555541243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34214555541243 - 2² = 34214555541239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34214555541192 and 34214555541201.

It is not an unprimeable number, because it can be changed into a prime (34214555541233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383672928 + ... + 383762093.

It is an arithmetic number, because the mean of its divisors is an integer number (1786588731216).

Almost surely, 2^{34214555541243} is an apocalyptic number.

34214555541243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34214555541243 is a deficient number, since it is larger than the sum of its proper divisors (22956283857669).

34214555541243 is a wasteful number, since it uses less digits than its factorization.

34214555541243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767435235.

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 3421455 and 5541243, that added together give a palindrome (8962698).

The spelling of 34214555541243 in words is "thirty-four trillion, two hundred fourteen billion, five hundred fifty-five million, five hundred forty-one thousand, two hundred forty-three".