8374906087249 has 81 divisors (see below), whose sum is σ = 9651441537819. Its totient is φ = 7263565414560.

The previous prime is 8374906087217. The next prime is 8374906087267. The reversal of 8374906087249 is 9427806094738.

It is a happy number.

The square root of 8374906087249 is 2893943.

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

It can be written as a sum of positive squares in only one way, i.e., 1238891433025 + 7136014654224 = 1113055^2 + 2671332^2 .

It is not a de Polignac number, because 8374906087249 - 2⁵ = 8374906087217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8374906057249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 50149138164 + ... + 50149138330.

Almost surely, 2^{8374906087249} is an apocalyptic number.

8374906087249 is the 2893943-rd square number.

8374906087249 is the 1446972-nd centered octagonal number.

It is an amenable number.

8374906087249 is a deficient number, since it is larger than the sum of its proper divisors (1276535450570).

8374906087249 is an equidigital number, since it uses as much as digits as its factorization.

8374906087249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 67.

The spelling of 8374906087249 in words is "eight trillion, three hundred seventy-four billion, nine hundred six million, eighty-seven thousand, two hundred forty-nine".