35368086353 has 8 divisors (see below), whose sum is σ = 35529719208. Its totient is φ = 35206763904.

The previous prime is 35368086329. The next prime is 35368086367.

35368086353 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 394384 + 35367691969 = 628^2 + 188063^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 35368086353 - 2⁶ = 35368086289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35368086053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152351 + ... + 306507.

It is an arithmetic number, because the mean of its divisors is an integer number (4441214901).

Almost surely, 2^35368086353 is an apocalyptic number.

It is an amenable number.

35368086353 is a deficient number, since it is larger than the sum of its proper divisors (161632855).

35368086353 is a wasteful number, since it uses less digits than its factorization.

35368086353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155203.

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 35368086353 in words is "thirty-five billion, three hundred sixty-eight million, eighty-six thousand, three hundred fifty-three".