352364161463253 has 32 divisors (see below), whose sum is σ = 528810947174400. Its totient is φ = 231856004425968.

The previous prime is 352364161463227. The next prime is 352364161463261.

It is a happy number.

352364161463253 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 6 + 416 + 146 + 32 + 53 = 666.

352364161463253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352364161463253 - 2⁵ = 352364161463221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 352364161463253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352364161663253) 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, 22260625 + ... + 34644822.

It is an arithmetic number, because the mean of its divisors is an integer number (16525342099200).

Almost surely, 2^{352364161463253} is an apocalyptic number.

It is an amenable number.

352364161463253 is a deficient number, since it is larger than the sum of its proper divisors (176446785711147).

352364161463253 is a wasteful number, since it uses less digits than its factorization.

352364161463253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56908438 (or 56908432 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 352364161463253 in words is "three hundred fifty-two trillion, three hundred sixty-four billion, one hundred sixty-one million, four hundred sixty-three thousand, two hundred fifty-three".