249946768001 has 12 divisors (see below), whose sum is σ = 300780419220. Its totient is φ = 206852496480.

The previous prime is 249946767989. The next prime is 249946768033. The reversal of 249946768001 is 100867649942.

It can be written as a sum of positive squares in 2 ways, for example, as 174143463025 + 75803304976 = 417305^2 + 275324^2 .

It is not a de Polignac number, because 249946768001 - 2¹⁴ = 249946751617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249946768051) 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 11 ways as a sum of consecutive naturals, for example, 87946070 + ... + 87948911.

It is an arithmetic number, because the mean of its divisors is an integer number (25065034935).

Almost surely, 2^249946768001 is an apocalyptic number.

It is an amenable number.

249946768001 is a deficient number, since it is larger than the sum of its proper divisors (50833651219).

249946768001 is a wasteful number, since it uses less digits than its factorization.

249946768001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175895024 (or 175895017 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 249946768001 in words is "two hundred forty-nine billion, nine hundred forty-six million, seven hundred sixty-eight thousand, one".