21873826944 has 192 divisors, whose sum is σ = 65298313080. Its totient is φ = 7022592000.

The previous prime is 21873826939. The next prime is 21873826973. The reversal of 21873826944 is 44962837812.

21873826944 is a `hidden beast` number, since 218 + 7 + 382 + 6 + 9 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21750350400 + 123476544 = 147480^2 + 11112^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4302484 + ... + 4307564.

Almost surely, 2^21873826944 is an apocalyptic number.

21873826944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21873826944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32649156540).

21873826944 is an abundant number, since it is smaller than the sum of its proper divisors (43424486136).

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

21873826944 is a wasteful number, since it uses less digits than its factorization.

21873826944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5224 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 21873826944 in words is "twenty-one billion, eight hundred seventy-three million, eight hundred twenty-six thousand, nine hundred forty-four".