249566112 has 72 divisors (see below), whose sum is σ = 734200740. Its totient is φ = 80317440.

The previous prime is 249566087. The next prime is 249566117. The reversal of 249566112 is 211665942.

It can be written as a sum of positive squares in 2 ways, for example, as 238517136 + 11048976 = 15444^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (249566117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6589 + ... + 23292.

Almost surely, 2^249566112 is an apocalyptic number.

It is an amenable number.

249566112 is an abundant number, since it is smaller than the sum of its proper divisors (484634628).

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

249566112 is a wasteful number, since it uses less digits than its factorization.

249566112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29926 (or 29915 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 249566112 is about 15797.6615991102. The cubic root of 249566112 is about 629.5958708243.

The spelling of 249566112 in words is "two hundred forty-nine million, five hundred sixty-six thousand, one hundred twelve".