21746442012000 has 384 divisors, whose sum is σ = 73405574161920. Its totient is φ = 5623905945600.

The previous prime is 21746442011999. The next prime is 21746442012007. The reversal of 21746442012000 is 21024464712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21746442012007) 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 63 ways as a sum of consecutive naturals, for example, 136228231 + ... + 136387769.

It is an arithmetic number, because the mean of its divisors is an integer number (191160349380).

Almost surely, 2^{21746442012000} is an apocalyptic number.

21746442012000 is a gapful number since it is divisible by the number (20) 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 21746442012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36702787080960).

21746442012000 is an abundant number, since it is smaller than the sum of its proper divisors (51659132149920).

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

21746442012000 is a wasteful number, since it uses less digits than its factorization.

21746442012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159911 (or 159893 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 21746442012000 its reverse (21024464712), we get a palindrome (21767466476712).

The spelling of 21746442012000 in words is "twenty-one trillion, seven hundred forty-six billion, four hundred forty-two million, twelve thousand".