45734816449 has 27 divisors (see below), whose sum is σ = 53834298147. Its totient is φ = 38740623264.

The previous prime is 45734816431. The next prime is 45734816461. The reversal of 45734816449 is 94461843754.

It is a happy number.

The square root of 45734816449 is 213857.

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., 26864849025 + 18869967424 = 163905^2 + 137368^2 .

It is not a de Polignac number, because 45734816449 - 2¹¹ = 45734814401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45734816449.

It is not an unprimeable number, because it can be changed into a prime (45734814449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205088752 + ... + 205088974.

Almost surely, 2^45734816449 is an apocalyptic number.

45734816449 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45734816449 is the 213857-th square number.

45734816449 is the 106929-th centered octagonal number.

It is an amenable number.

45734816449 is a deficient number, since it is larger than the sum of its proper divisors (8099481698).

45734816449 is an frugal number, since it uses more digits than its factorization.

45734816449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 45734816449 in words is "forty-five billion, seven hundred thirty-four million, eight hundred sixteen thousand, four hundred forty-nine".