8937451056249 has 45 divisors (see below), whose sum is σ = 13403179359229. Its totient is φ = 5935107720960.

The previous prime is 8937451056203. The next prime is 8937451056379. The reversal of 8937451056249 is 9426501547398.

The square root of 8937451056249 is 2989557.

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

8937451056249 is a `hidden beast` number, since 8 + 9 + 3 + 74 + 510 + 5 + 6 + 2 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6510069225 + 8930940987024 = 80685^2 + 2988468^2 .

It is not a de Polignac number, because 8937451056249 - 2¹⁵ = 8937451023481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8937451056049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9497822119 + ... + 9497823059.

It is a 1-persistent number, because it is pandigital, but 2⋅8937451056249 = 17874902112498 is not.

Almost surely, 2^{8937451056249} is an apocalyptic number.

8937451056249 is the 2989557-th square number.

8937451056249 is the 1494779-th centered octagonal number.

It is an amenable number.

8937451056249 is a deficient number, since it is larger than the sum of its proper divisors (4465728302980).

8937451056249 is an frugal number, since it uses more digits than its factorization.

8937451056249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 8937451056249 in words is "eight trillion, nine hundred thirty-seven billion, four hundred fifty-one million, fifty-six thousand, two hundred forty-nine".