24135344353142 has 32 divisors (see below), whose sum is σ = 39540677014944. Its totient is φ = 10957703328000.

The previous prime is 24135344353121. The next prime is 24135344353151.

24135344353142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24135344353093 and 24135344353102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204040088 + ... + 204158340.

It is an arithmetic number, because the mean of its divisors is an integer number (1235646156717).

Almost surely, 2^{24135344353142} is an apocalyptic number.

24135344353142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24135344353142 is a deficient number, since it is larger than the sum of its proper divisors (15405332661802).

24135344353142 is a wasteful number, since it uses less digits than its factorization.

24135344353142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129104.

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 2413534 and 4353142, that added together give a palindrome (6766676).

The spelling of 24135344353142 in words is "twenty-four trillion, one hundred thirty-five billion, three hundred forty-four million, three hundred fifty-three thousand, one hundred forty-two".