249233221042884 has 243 divisors, whose sum is σ = 705020249001159. Its totient is φ = 74201999339520.

The previous prime is 249233221042867. The next prime is 249233221042933. The reversal of 249233221042884 is 488240122332942.

The square root of 249233221042884 is 15787122.

It is a perfect power (a square), and thus also a powerful number.

249233221042884 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 332 + 21 + 0 + 4 + 288 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147407523322500 + 101825697720384 = 12141150^2 + 10090872^2 .

It is a super-2 number, since 2×249233221042884² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 249233221042884.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38173257732 + ... + 38173264260.

Almost surely, 2^{249233221042884} is an apocalyptic number.

249233221042884 is the 15787122-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249233221042884

249233221042884 is an abundant number, since it is smaller than the sum of its proper divisors (455787027958275).

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

249233221042884 is an equidigital number, since it uses as much as digits as its factorization.

249233221042884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13156 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 249233221042884 in words is "two hundred forty-nine trillion, two hundred thirty-three billion, two hundred twenty-one million, forty-two thousand, eight hundred eighty-four".