949003292224 has 567 divisors, whose sum is σ = 2367752570937. Its totient is φ = 377073156096.

The previous prime is 949003292221. The next prime is 949003292239. The reversal of 949003292224 is 422292300949.

The square root of 949003292224 is 974168.

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

It can be written as a sum of positive squares in 13 ways, for example, as 541448732224 + 407554560000 = 735832^2 + 638400^2 .

It is not an unprimeable number, because it can be changed into a prime (949003292221) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32724251442 + ... + 32724251470.

Almost surely, 2^949003292224 is an apocalyptic number.

949003292224 is the 974168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949003292224

949003292224 is an abundant number, since it is smaller than the sum of its proper divisors (1418749278713).

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

949003292224 is a wasteful number, since it uses less digits than its factorization.

949003292224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 949003292224 in words is "nine hundred forty-nine billion, three million, two hundred ninety-two thousand, two hundred twenty-four".