249574906368 has 60 divisors (see below), whose sum is σ = 720290091378. Its totient is φ = 83191633920.

The previous prime is 249574906351. The next prime is 249574906403. The reversal of 249574906368 is 863609475942.

249574906368 is a `hidden beast` number, since 24 + 9 + 5 + 7 + 490 + 63 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208330170624 + 41244735744 = 456432^2 + 203088^2 .

It is a super-4 number, since 4×249574906368⁴ (a number of 47 digits) contains 4444 as substring.

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 5 ways as a sum of consecutive naturals, for example, 27076003 + ... + 27085218.

Almost surely, 2^249574906368 is an apocalyptic number.

It is an amenable number.

249574906368 is an abundant number, since it is smaller than the sum of its proper divisors (470715185010).

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

249574906368 is an equidigital number, since it uses as much as digits as its factorization.

249574906368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54161245 (or 54161226 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 249574906368 in words is "two hundred forty-nine billion, five hundred seventy-four million, nine hundred six thousand, three hundred sixty-eight".