35342222224353 has 24 divisors (see below), whose sum is σ = 52674218335200. Its totient is φ = 21056485750080.

The previous prime is 35342222224303. The next prime is 35342222224391.

35342222224353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35342222224353 - 2³⁶ = 35273502747617 is a prime.

It is a super-2 number, since 2×35342222224353² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35342222224303) 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 23 ways as a sum of consecutive naturals, for example, 825075988 + ... + 825118821.

It is an arithmetic number, because the mean of its divisors is an integer number (2194759097300).

Almost surely, 2^{35342222224353} is an apocalyptic number.

35342222224353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35342222224353 is a deficient number, since it is larger than the sum of its proper divisors (17331996110847).

35342222224353 is a wasteful number, since it uses less digits than its factorization.

35342222224353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650194893 (or 1650194882 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 3534222 and 2224353, that added together give a palindrome (5758575).

The spelling of 35342222224353 in words is "thirty-five trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, three hundred fifty-three".