7744293082449 has 135 divisors (see below), whose sum is σ = 14352325196027. Its totient is φ = 4020671793600.

The previous prime is 7744293082441. The next prime is 7744293082451. The reversal of 7744293082449 is 9442803924477.

The square root of 7744293082449 is 2782857.

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

7744293082449 is a `hidden beast` number, since 7 + 74 + 42 + 9 + 3 + 0 + 82 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5719477920849 + 2024815161600 = 2391543^2 + 1422960^2 .

It is not a de Polignac number, because 7744293082449 - 2³ = 7744293082441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7744293082441) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4499878909 + ... + 4499880629.

Almost surely, 2^{7744293082449} is an apocalyptic number.

7744293082449 is the 2782857-th square number.

7744293082449 is the 1391429-th centered octagonal number.

It is an amenable number.

7744293082449 is a deficient number, since it is larger than the sum of its proper divisors (6608032113578).

7744293082449 is an frugal number, since it uses more digits than its factorization.

7744293082449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 7744293082449 in words is "seven trillion, seven hundred forty-four billion, two hundred ninety-three million, eighty-two thousand, four hundred forty-nine".