35134322343153 has 128 divisors (see below), whose sum is σ = 54939492864000. Its totient is φ = 19761466306560.

The previous prime is 35134322343139. The next prime is 35134322343163.

35134322343153 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35134322343153 - 2²⁰ = 35134321294577 is a prime.

It is a super-2 number, since 2×35134322343153² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35134322343163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2267746875 + ... + 2267762367.

It is an arithmetic number, because the mean of its divisors is an integer number (429214788000).

Almost surely, 2^{35134322343153} is an apocalyptic number.

35134322343153 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35134322343153 is a deficient number, since it is larger than the sum of its proper divisors (19805170520847).

35134322343153 is a wasteful number, since it uses less digits than its factorization.

35134322343153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16247.

The product of its digits is 1166400, while the sum is 42.

It can be divided in two parts, 3513432 and 2343153, that added together give a palindrome (5856585).

The spelling of 35134322343153 in words is "thirty-five trillion, one hundred thirty-four billion, three hundred twenty-two million, three hundred forty-three thousand, one hundred fifty-three".