744190902225 has 135 divisors (see below), whose sum is σ = 1423388158023. Its totient is φ = 371677489920.

The previous prime is 744190902223. The next prime is 744190902239. The reversal of 744190902225 is 522209091447.

The square root of 744190902225 is 862665.

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

744190902225 is a `hidden beast` number, since 7 + 4 + 419 + 0 + 9 + 0 + 2 + 225 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 81093383361 + 663097518864 = 284769^2 + 814308^2 .

It is not a de Polignac number, because 744190902225 - 2¹ = 744190902223 is a prime.

It is a super-3 number, since 3×744190902225³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (744190902223) 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, 3739652676 + ... + 3739652874.

Almost surely, 2^744190902225 is an apocalyptic number.

744190902225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

744190902225 is the 862665-th square number.

744190902225 is the 431333-rd centered octagonal number.

It is an amenable number.

744190902225 is a deficient number, since it is larger than the sum of its proper divisors (679197255798).

744190902225 is an frugal number, since it uses more digits than its factorization.

744190902225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 744190902225 in words is "seven hundred forty-four billion, one hundred ninety million, nine hundred two thousand, two hundred twenty-five".