21473956000000 has 567 divisors, whose sum is σ = 62515867970241. Its totient is φ = 7340256000000.

The previous prime is 21473955999971. The next prime is 21473956000009. The reversal of 21473956000000 is 65937412.

The square root of 21473956000000 is 4634000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 18813246955776 + 2660709044224 = 4337424^2 + 1631168^2 .

It is a super-2 number, since 2×21473956000000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21473956000009) 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 62 ways as a sum of consecutive naturals, for example, 64875999835 + ... + 64876000165.

Almost surely, 2^{21473956000000} is an apocalyptic number.

21473956000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21473956000000 is the 4634000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21473956000000

21473956000000 is an abundant number, since it is smaller than the sum of its proper divisors (41041911970241).

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

21473956000000 is an frugal number, since it uses more digits than its factorization.

21473956000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 21473956000000 in words is "twenty-one trillion, four hundred seventy-three billion, nine hundred fifty-six million", and thus it is an aban number.