20343563827456 has 81 divisors (see below), whose sum is σ = 40818920120433. Its totient is φ = 10119136711680.

The previous prime is 20343563827451. The next prime is 20343563827459. The reversal of 20343563827456 is 65472836534302.

It is a happy number.

The square root of 20343563827456 is 4510384.

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

It can be written as a sum of positive squares in only one way, i.e., 18947007129856 + 1396556697600 = 4352816^2 + 1181760^2 .

It is a super-2 number, since 2×20343563827456² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20343563827456.

It is not an unprimeable number, because it can be changed into a prime (20343563827451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16526046361 + ... + 16526047591.

Almost surely, 2^{20343563827456} is an apocalyptic number.

20343563827456 is the 4510384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20343563827456

20343563827456 is an abundant number, since it is smaller than the sum of its proper divisors (20475356292977).

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

20343563827456 is an frugal number, since it uses more digits than its factorization.

20343563827456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 58.

The spelling of 20343563827456 in words is "twenty trillion, three hundred forty-three billion, five hundred sixty-three million, eight hundred twenty-seven thousand, four hundred fifty-six".