21849016896 has 672 divisors, whose sum is σ = 81183358080. Its totient is φ = 5722472448.

The previous prime is 21849016841. The next prime is 21849016897. The reversal of 21849016896 is 69861094812.

21849016896 is a `hidden beast` number, since 2 + 1 + 8 + 490 + 1 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×21849016896³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21849016897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61895056 + ... + 61895408.

Almost surely, 2^21849016896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21849016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40591679040).

21849016896 is an abundant number, since it is smaller than the sum of its proper divisors (59334341184).

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

21849016896 is a wasteful number, since it uses less digits than its factorization.

21849016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 21849016896 in words is "twenty-one billion, eight hundred forty-nine million, sixteen thousand, eight hundred ninety-six".