249667200721 has 16 divisors (see below), whose sum is σ = 251512128000. Its totient is φ = 247830489088.

The previous prime is 249667200707. The next prime is 249667200763. The reversal of 249667200721 is 127002766942.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 249667200721 - 2⁵ = 249667200689 is a prime.

It is a super-2 number, since 2×249667200721² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (249667200781) 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 15 ways as a sum of consecutive naturals, for example, 174226221 + ... + 174227653.

It is an arithmetic number, because the mean of its divisors is an integer number (15719508000).

Almost surely, 2^249667200721 is an apocalyptic number.

It is an amenable number.

249667200721 is a deficient number, since it is larger than the sum of its proper divisors (1844927279).

249667200721 is a wasteful number, since it uses less digits than its factorization.

249667200721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488.

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 249667200721 in words is "two hundred forty-nine billion, six hundred sixty-seven million, two hundred thousand, seven hundred twenty-one".