24662222226642 has 640 divisors, whose sum is σ = 69091223040000. Its totient is φ = 5710636546560.

The previous prime is 24662222226617. The next prime is 24662222226671.

It is a happy number.

24662222226642 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24662222226591 and 24662222226600.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 58859718709 + ... + 58859719127.

It is an arithmetic number, because the mean of its divisors is an integer number (107955036000).

Almost surely, 2^{24662222226642} is an apocalyptic number.

24662222226642 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 24662222226642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34545611520000).

24662222226642 is an abundant number, since it is smaller than the sum of its proper divisors (44429000813358).

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

24662222226642 is a wasteful number, since it uses less digits than its factorization.

24662222226642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 691 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 24662222226642 in words is "twenty-four trillion, six hundred sixty-two billion, two hundred twenty-two million, two hundred twenty-six thousand, six hundred forty-two".