949248000224 has 48 divisors (see below), whose sum is σ = 1895804942976. Its totient is φ = 467778326400.

The previous prime is 949248000221. The next prime is 949248000257. The reversal of 949248000224 is 422000842949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949248000221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6679799 + ... + 6820425.

It is an arithmetic number, because the mean of its divisors is an integer number (39495936312).

Almost surely, 2^949248000224 is an apocalyptic number.

It is an amenable number.

949248000224 is a deficient number, since it is larger than the sum of its proper divisors (946556942752).

949248000224 is a wasteful number, since it uses less digits than its factorization.

949248000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143679 (or 143671 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 949248000224 in words is "nine hundred forty-nine billion, two hundred forty-eight million, two hundred twenty-four", and thus it is an aban number.