21894708483648 has 2240 divisors, whose sum is σ = 90775981739520. Its totient is φ = 5039166504960.

The previous prime is 21894708483647. The next prime is 21894708483671. The reversal of 21894708483648 is 84638480749812.

21894708483648 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 470 + 84 + 8 + 36 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21894708483647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 126559008490 + ... + 126559008662.

It is an arithmetic number, because the mean of its divisors is an integer number (40524991848).

Almost surely, 2^{21894708483648} is an apocalyptic number.

21894708483648 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 21894708483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45387990869760).

21894708483648 is an abundant number, since it is smaller than the sum of its proper divisors (68881273255872).

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

21894708483648 is a wasteful number, since it uses less digits than its factorization.

21894708483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 21894708483648 in words is "twenty-one trillion, eight hundred ninety-four billion, seven hundred eight million, four hundred eighty-three thousand, six hundred forty-eight".