249955608968 has 36 divisors (see below), whose sum is σ = 507528559215. Its totient is φ = 115355642688.

The previous prime is 249955608943. The next prime is 249955608971. The reversal of 249955608968 is 869806559942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1853991364 + 248101617604 = 43058^2 + 498098^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=353522.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 18376346 + ... + 18389942.

Almost surely, 2^249955608968 is an apocalyptic number.

It is an amenable number.

249955608968 is an abundant number, since it is smaller than the sum of its proper divisors (257572950247).

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

249955608968 is an frugal number, since it uses more digits than its factorization.

249955608968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27226 (or 13612 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 71.

The spelling of 249955608968 in words is "two hundred forty-nine billion, nine hundred fifty-five million, six hundred eight thousand, nine hundred sixty-eight".