35328022082353 has 48 divisors (see below), whose sum is σ = 48451058784576. Its totient is φ = 25320973023360.

The previous prime is 35328022082341. The next prime is 35328022082387.

It is a happy number.

35328022082353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35328022082353 - 2²¹ = 35328019985201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35328022083353) 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 47 ways as a sum of consecutive naturals, for example, 6924826 + ... + 10890787.

It is an arithmetic number, because the mean of its divisors is an integer number (1009397058012).

Almost surely, 2^{35328022082353} is an apocalyptic number.

It is an amenable number.

35328022082353 is a deficient number, since it is larger than the sum of its proper divisors (13123036702223).

35328022082353 is a wasteful number, since it uses less digits than its factorization.

35328022082353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17815934 (or 17815927 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 35328022082353 in words is "thirty-five trillion, three hundred twenty-eight billion, twenty-two million, eighty-two thousand, three hundred fifty-three".