353664466353 has 32 divisors (see below), whose sum is σ = 574142177280. Its totient is φ = 213380885520.

The previous prime is 353664466349. The next prime is 353664466369.

It is a happy number.

353664466353 is a `hidden beast` number, since 3 + 536 + 6 + 4 + 46 + 63 + 5 + 3 = 666.

353664466353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 353664466353 - 2² = 353664466349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 353664466353.

It is not an unprimeable number, because it can be changed into a prime (353664466303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2603701 + ... + 2736162.

It is an arithmetic number, because the mean of its divisors is an integer number (17941943040).

Almost surely, 2^353664466353 is an apocalyptic number.

353664466353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

353664466353 is a deficient number, since it is larger than the sum of its proper divisors (220477710927).

353664466353 is a wasteful number, since it uses less digits than its factorization.

353664466353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340106 (or 5340100 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 353664466353 in words is "three hundred fifty-three billion, six hundred sixty-four million, four hundred sixty-six thousand, three hundred fifty-three".