21845429658 has 144 divisors (see below), whose sum is σ = 54671591520. Its totient is φ = 6265078272.

The previous prime is 21845429657. The next prime is 21845429701. The reversal of 21845429658 is 85692454812.

21845429658 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 542 + 96 + 5 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (21845429651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7234473 + ... + 7237491.

It is an arithmetic number, because the mean of its divisors is an integer number (379663830).

Almost surely, 2^21845429658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21845429658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27335795760).

21845429658 is an abundant number, since it is smaller than the sum of its proper divisors (32826161862).

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

21845429658 is a wasteful number, since it uses less digits than its factorization.

21845429658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3161 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 21845429658 in words is "twenty-one billion, eight hundred forty-five million, four hundred twenty-nine thousand, six hundred fifty-eight".