9006613214404 has 63 divisors (see below), whose sum is σ = 17100073938073. Its totient is φ = 4150812171792.

The previous prime is 9006613214359. The next prime is 9006613214407. The reversal of 9006613214404 is 4044123166009.

The square root of 9006613214404 is 3001102.

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

It can be written as a sum of positive squares in 3 ways, for example, as 7727343636100 + 1279269578304 = 2779810^2 + 1131048^2 .

It is a super-2 number, since 2×9006613214404² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9006613214407) 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 20 ways as a sum of consecutive naturals, for example, 13186841847 + ... + 13186842529.

Almost surely, 2^{9006613214404} is an apocalyptic number.

9006613214404 is the 3001102-nd square number.

It is an amenable number.

9006613214404 is a deficient number, since it is larger than the sum of its proper divisors (8093460723669).

9006613214404 is an frugal number, since it uses more digits than its factorization.

9006613214404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 9006613214404 in words is "nine trillion, six billion, six hundred thirteen million, two hundred fourteen thousand, four hundred four".