949252528288 has 48 divisors (see below), whose sum is σ = 1991586320640. Its totient is φ = 444330954496.

The previous prime is 949252528223. The next prime is 949252528321. The reversal of 949252528288 is 882825252949.

It is a super-2 number, since 2×949252528288² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13686103 + ... + 13755286.

It is an arithmetic number, because the mean of its divisors is an integer number (41491381680).

Almost surely, 2^949252528288 is an apocalyptic number.

It is an amenable number.

949252528288 is an abundant number, since it is smaller than the sum of its proper divisors (1042333792352).

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

949252528288 is a wasteful number, since it uses less digits than its factorization.

949252528288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27441469 (or 27441461 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 64.

The spelling of 949252528288 in words is "nine hundred forty-nine billion, two hundred fifty-two million, five hundred twenty-eight thousand, two hundred eighty-eight".