24142460166 has 96 divisors (see below), whose sum is σ = 58786041600. Its totient is φ = 7097428800.

The previous prime is 24142460161. The next prime is 24142460191. The reversal of 24142460166 is 66106424142.

24142460166 is a `hidden beast` number, since 2 + 4 + 1 + 42 + 4 + 601 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 24142460166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24142460161) 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, 1259071 + ... + 1278101.

It is an arithmetic number, because the mean of its divisors is an integer number (612354600).

Almost surely, 2^24142460166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24142460166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393020800).

24142460166 is an abundant number, since it is smaller than the sum of its proper divisors (34643581434).

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

24142460166 is a wasteful number, since it uses less digits than its factorization.

24142460166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19242 (or 19239 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 24142460166 in words is "twenty-four billion, one hundred forty-two million, four hundred sixty thousand, one hundred sixty-six".