21736833490944 has 1120 divisors, whose sum is σ = 76659011706816. Its totient is φ = 6050957230080.

The previous prime is 21736833490919. The next prime is 21736833491011. The reversal of 21736833490944 is 44909433863712.

It is a happy number.

21736833490944 is a `hidden beast` number, since 2 + 1 + 73 + 6 + 8 + 33 + 490 + 9 + 44 = 666.

It is a super-2 number, since 2×21736833490944² (a number of 27 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 26283957859 + ... + 26283958685.

Almost surely, 2^{21736833490944} is an apocalyptic number.

21736833490944 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 21736833490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38329505853408).

21736833490944 is an abundant number, since it is smaller than the sum of its proper divisors (54922178215872).

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

21736833490944 is a wasteful number, since it uses less digits than its factorization.

21736833490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 21736833490944 in words is "twenty-one trillion, seven hundred thirty-six billion, eight hundred thirty-three million, four hundred ninety thousand, nine hundred forty-four".