21833452827648 has 2112 divisors, whose sum is σ = 89385448320000. Its totient is φ = 5185340375040.

The previous prime is 21833452827617. The next prime is 21833452827649. The reversal of 21833452827648 is 84672825433812.

It is a happy number.

21833452827648 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 34 + 528 + 2 + 76 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21833452827649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8211150543 + ... + 8211153201.

Almost surely, 2^{21833452827648} is an apocalyptic number.

21833452827648 is a gapful number since it is divisible by the number (28) 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 21833452827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44692724160000).

21833452827648 is an abundant number, since it is smaller than the sum of its proper divisors (67551995492352).

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

21833452827648 is a wasteful number, since it uses less digits than its factorization.

21833452827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2730 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 21833452827648 in words is "twenty-one trillion, eight hundred thirty-three billion, four hundred fifty-two million, eight hundred twenty-seven thousand, six hundred forty-eight".