24561244216542 has 64 divisors (see below), whose sum is σ = 54113157955584. Its totient is φ = 7369898771040.

The previous prime is 24561244216519. The next prime is 24561244216669.

24561244216542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24561244216491 and 24561244216500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80928283 + ... + 81231209.

It is an arithmetic number, because the mean of its divisors is an integer number (845518093056).

Almost surely, 2^{24561244216542} is an apocalyptic number.

24561244216542 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 24561244216542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27056578977792).

24561244216542 is an abundant number, since it is smaller than the sum of its proper divisors (29551913739042).

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

24561244216542 is a wasteful number, since it uses less digits than its factorization.

24561244216542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314973.

The product of its digits is 3686400, while the sum is 48.

The spelling of 24561244216542 in words is "twenty-four trillion, five hundred sixty-one billion, two hundred forty-four million, two hundred sixteen thousand, five hundred forty-two".