34225566552243 has 64 divisors (see below), whose sum is σ = 55987005634560. Its totient is φ = 20490466384800.

The previous prime is 34225566552211. The next prime is 34225566552277.

34225566552243 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 5 + 5 + 66 + 552 + 24 + 3 = 666.

34225566552243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34225566552243 - 2⁵ = 34225566552211 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34225566552243.

It is not an unprimeable number, because it can be changed into a prime (34225566552283) 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, 224025880 + ... + 224178602.

It is an arithmetic number, because the mean of its divisors is an integer number (874796963040).

Almost surely, 2^{34225566552243} is an apocalyptic number.

34225566552243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34225566552243 is a deficient number, since it is larger than the sum of its proper divisors (21761439082317).

34225566552243 is a wasteful number, since it uses less digits than its factorization.

34225566552243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161917 (or 161911 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

It can be divided in two parts, 3422556 and 6552243, that added together give a palindrome (9974799).

The spelling of 34225566552243 in words is "thirty-four trillion, two hundred twenty-five billion, five hundred sixty-six million, five hundred fifty-two thousand, two hundred forty-three".