8249400719329 has 45 divisors (see below), whose sum is σ = 10558914079905. Its totient is φ = 6426208819800.

The previous prime is 8249400719279. The next prime is 8249400719333. The reversal of 8249400719329 is 9239170049428.

The square root of 8249400719329 is 2872177.

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

It is not a de Polignac number, because 8249400719329 - 2¹⁷ = 8249400588257 is a prime.

It is a super-2 number, since 2×8249400719329² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8249400419329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2432732224 + ... + 2432735614.

It is an arithmetic number, because the mean of its divisors is an integer number (234642535109).

Almost surely, 2^{8249400719329} is an apocalyptic number.

8249400719329 is the 2872177-th square number.

8249400719329 is the 1436089-th centered octagonal number.

It is an amenable number.

8249400719329 is a deficient number, since it is larger than the sum of its proper divisors (2309513360576).

8249400719329 is an frugal number, since it uses more digits than its factorization.

8249400719329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 8249400719329 in words is "eight trillion, two hundred forty-nine billion, four hundred million, seven hundred nineteen thousand, three hundred twenty-nine".