1744649361 has 189 divisors, whose sum is σ = 3500132481. Its totient is φ = 866121984.

The previous prime is 1744649339. The next prime is 1744649377. The reversal of 1744649361 is 1639464471.

The square root of 1744649361 is 41769.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15752961 + 1728896400 = 3969^2 + 41580^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 1744649361 - 2⁷ = 1744649233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1744649461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 102626425 + ... + 102626441.

Almost surely, 2^1744649361 is an apocalyptic number.

1744649361 is the 41769-th square number.

1744649361 is the 20885-th centered octagonal number.

It is an amenable number.

1744649361 is an abundant number, since it is smaller than the sum of its proper divisors (1755483120).

1744649361 is an equidigital number, since it uses as much as digits as its factorization.

1744649361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The cubic root of 1744649361 is about 1203.8417067000.

The spelling of 1744649361 in words is "one billion, seven hundred forty-four million, six hundred forty-nine thousand, three hundred sixty-one".