17890066012225 has 81 divisors (see below), whose sum is σ = 24869606733097. Its totient is φ = 12756669640000.

The previous prime is 17890066012207. The next prime is 17890066012253. The reversal of 17890066012225 is 52221066009871.

The square root of 17890066012225 is 4229665.

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 134764612609 + 17755301399616 = 367103^2 + 4213704^2 .

It is a de Polignac number, because none of the positive numbers 2^k-17890066012225 is a prime.

It is a super-2 number, since 2×17890066012225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12329472750 + ... + 12329474200.

Almost surely, 2^{17890066012225} is an apocalyptic number.

17890066012225 is the 4229665-th square number.

17890066012225 is the 2114833-rd centered octagonal number.

It is an amenable number.

17890066012225 is a deficient number, since it is larger than the sum of its proper divisors (6979540720872).

17890066012225 is an frugal number, since it uses more digits than its factorization.

17890066012225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 17890066012225 by its sum of digits (49), we get a square (876613234599025 = 29607655²).

The spelling of 17890066012225 in words is "seventeen trillion, eight hundred ninety billion, sixty-six million, twelve thousand, two hundred twenty-five".