952248092224 has 189 divisors, whose sum is σ = 2251717741539. Its totient is φ = 399076254720.

The previous prime is 952248092221. The next prime is 952248092249. The reversal of 952248092224 is 422290842259.

The square root of 952248092224 is 975832.

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 614919452224 + 337328640000 = 784168^2 + 580800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (952248092221) 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 26 ways as a sum of consecutive naturals, for example, 1116351382 + ... + 1116352234.

Almost surely, 2^952248092224 is an apocalyptic number.

952248092224 is the 975832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952248092224

952248092224 is an abundant number, since it is smaller than the sum of its proper divisors (1299469649315).

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

952248092224 is an equidigital number, since it uses as much as digits as its factorization.

952248092224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 952248092224 by its sum of digits (49), we get a square (46660156518976 = 6830824²).

The spelling of 952248092224 in words is "nine hundred fifty-two billion, two hundred forty-eight million, ninety-two thousand, two hundred twenty-four".