52206766144 has 63 divisors (see below), whose sum is σ = 112230951687. Its totient is φ = 24095430528.

The previous prime is 52206766141. The next prime is 52206766159. The reversal of 52206766144 is 44166760225.

The square root of 52206766144 is 228488.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 52203110400 = 1912^2 + 228480^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=338.

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 52206766144.

It is not an unprimeable number, because it can be changed into a prime (52206766141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4015905082 + ... + 4015905094.

Almost surely, 2^52206766144 is an apocalyptic number.

52206766144 is the 228488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52206766144

52206766144 is an abundant number, since it is smaller than the sum of its proper divisors (60024185543).

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

52206766144 is an frugal number, since it uses more digits than its factorization.

52206766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 52206766144 in words is "fifty-two billion, two hundred six million, seven hundred sixty-six thousand, one hundred forty-four".