756216334449 has 45 divisors (see below), whose sum is σ = 1181188624539. Its totient is φ = 482110120800.

The previous prime is 756216334439. The next prime is 756216334459. The reversal of 756216334449 is 944433612657.

The square root of 756216334449 is 869607.

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

756216334449 is a `hidden beast` number, since 7 + 5 + 6 + 2 + 163 + 34 + 449 = 666.

It is an interprime number because it is at equal distance from previous prime (756216334439) and next prime (756216334459).

It can be written as a sum of positive squares in only one way, i.e., 42934740849 + 713281593600 = 207207^2 + 844560^2 .

It is not a de Polignac number, because 756216334449 - 2⁵ = 756216334417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 756216334395 and 756216334404.

It is not an unprimeable number, because it can be changed into a prime (756216334409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 180006549 + ... + 180010749.

Almost surely, 2^756216334449 is an apocalyptic number.

756216334449 is the 869607-th square number.

756216334449 is the 434804-th centered octagonal number.

It is an amenable number.

756216334449 is a deficient number, since it is larger than the sum of its proper divisors (424972290090).

756216334449 is an frugal number, since it uses more digits than its factorization.

756216334449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 4227 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 756216334449 in words is "seven hundred fifty-six billion, two hundred sixteen million, three hundred thirty-four thousand, four hundred forty-nine".