352444343444253 has 16 divisors (see below), whose sum is σ = 529493849308800. Its totient is φ = 231653559070080.

The previous prime is 352444343444227. The next prime is 352444343444287.

352444343444253 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 4 + 4 + 343 + 4 + 44 + 253 = 666.

352444343444253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352444343444253 - 2¹⁸ = 352444343182109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 352444343444253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352444343444653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91926013588 + ... + 91926017421.

It is an arithmetic number, because the mean of its divisors is an integer number (33093365581800).

Almost surely, 2^{352444343444253} is an apocalyptic number.

It is an amenable number.

352444343444253 is a deficient number, since it is larger than the sum of its proper divisors (177049505864547).

352444343444253 is a wasteful number, since it uses less digits than its factorization.

352444343444253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183852031089 (or 183852031083 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

The spelling of 352444343444253 in words is "three hundred fifty-two trillion, four hundred forty-four billion, three hundred forty-three million, four hundred forty-four thousand, two hundred fifty-three".