24161133116142 has 96 divisors (see below), whose sum is σ = 58534805268576. Its totient is φ = 7138855065600.

The previous prime is 24161133116093. The next prime is 24161133116147.

24161133116142 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 1 + 1 + 3 + 31 + 1 + 614 + 2 = 666.

24161133116142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24161133116097 and 24161133116106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24161133116147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13209798 + ... + 14927190.

It is an arithmetic number, because the mean of its divisors is an integer number (609737554881).

Almost surely, 2^{24161133116142} is an apocalyptic number.

24161133116142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24161133116142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29267402634288).

24161133116142 is an abundant number, since it is smaller than the sum of its proper divisors (34373672152434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24161133116142 is a wasteful number, since it uses less digits than its factorization.

24161133116142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719186 (or 1719183 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 24161133116142 in words is "twenty-four trillion, one hundred sixty-one billion, one hundred thirty-three million, one hundred sixteen thousand, one hundred forty-two".