21844607742 has 96 divisors (see below), whose sum is σ = 53809977600. Its totient is φ = 6555136896.

The previous prime is 21844607737. The next prime is 21844607749. The reversal of 21844607742 is 24770644812.

21844607742 is a `hidden beast` number, since 2 + 1 + 84 + 460 + 77 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21844607749) 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, 328509 + ... + 389367.

It is an arithmetic number, because the mean of its divisors is an integer number (560520600).

Almost surely, 2^21844607742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21844607742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26904988800).

21844607742 is an abundant number, since it is smaller than the sum of its proper divisors (31965369858).

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

21844607742 is a wasteful number, since it uses less digits than its factorization.

21844607742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60927 (or 60904 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 21844607742 in words is "twenty-one billion, eight hundred forty-four million, six hundred seven thousand, seven hundred forty-two".