743728585609 has 3 divisors (see below), whose sum is σ = 743729448007. Its totient is φ = 743727723212.

The previous prime is 743728585583. The next prime is 743728585631. The reversal of 743728585609 is 906585827347.

The square root of 743728585609 is 862397.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 906585827347 = 103 ⋅8801804149.

It can be written as a sum of positive squares in only one way, i.e., 235889919225 + 507838666384 = 485685^2 + 712628^2 .

It is not a de Polignac number, because 743728585609 - 2⁵ = 743728585577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (743728585109) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 431199 + ... + 1293595.

Almost surely, 2^743728585609 is an apocalyptic number.

743728585609 is the 862397-th square number.

743728585609 is the 431199-th centered octagonal number.

It is an amenable number.

743728585609 is a deficient number, since it is larger than the sum of its proper divisors (862398).

743728585609 is an frugal number, since it uses more digits than its factorization.

743728585609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724794 (or 862397 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 64.

Multiplying 743728585609 by its sum of digits (64), we get a square (47598629478976 = 6899176²).

The spelling of 743728585609 in words is "seven hundred forty-three billion, seven hundred twenty-eight million, five hundred eighty-five thousand, six hundred nine".