249438043152 has 60 divisors (see below), whose sum is σ = 698140604460. Its totient is φ = 83138805504.

The previous prime is 249438043147. The next prime is 249438043177. The reversal of 249438043152 is 251340834942.

249438043152 is a `hidden beast` number, since 2 + 4 + 94 + 3 + 80 + 431 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62948802816 + 186489240336 = 250896^2 + 431844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 249438043098 and 249438043107.

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 11 ways as a sum of consecutive naturals, for example, 1744018 + ... + 1881614.

It is an arithmetic number, because the mean of its divisors is an integer number (11635676741).

Almost surely, 2^249438043152 is an apocalyptic number.

It is an amenable number.

249438043152 is an abundant number, since it is smaller than the sum of its proper divisors (448702561308).

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

249438043152 is a wasteful number, since it uses less digits than its factorization.

249438043152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150200 (or 150191 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 249438043152 in words is "two hundred forty-nine billion, four hundred thirty-eight million, forty-three thousand, one hundred fifty-two".