949248000225 has 72 divisors (see below), whose sum is σ = 1943328184512. Its totient is φ = 433890000000.

The previous prime is 949248000221. The next prime is 949248000257. The reversal of 949248000225 is 522000842949.

It is not a de Polignac number, because 949248000225 - 2² = 949248000221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15156475 + ... + 15218975.

Almost surely, 2^949248000225 is an apocalyptic number.

949248000225 is the 562509-th octagonal number.

It is an amenable number.

949248000225 is an abundant number, since it is smaller than the sum of its proper divisors (994080184287).

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

949248000225 is a wasteful number, since it uses less digits than its factorization.

949248000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72167 (or 72159 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 949248000225 in words is "nine hundred forty-nine billion, two hundred forty-eight million, two hundred twenty-five", and thus it is an aban number.