37643317222225 has 81 divisors (see below), whose sum is σ = 55563659672787. Its totient is φ = 25268093136000.

The previous prime is 37643317222219. The next prime is 37643317222289. The reversal of 37643317222225 is 52222271334673.

The square root of 37643317222225 is 6135415.

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

It can be written as a sum of positive squares in 13 ways, for example, as 28439107805889 + 9204209416336 = 5332833^2 + 3033844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-37643317222225 is a prime.

It is a super-2 number, since 2×37643317222225² (a number of 28 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 (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4386817435 + ... + 4386826015.

Almost surely, 2^{37643317222225} is an apocalyptic number.

37643317222225 is the 6135415-th square number.

37643317222225 is the 3067708-th centered octagonal number.

It is an amenable number.

37643317222225 is a deficient number, since it is larger than the sum of its proper divisors (17920342450562).

37643317222225 is an frugal number, since it uses more digits than its factorization.

37643317222225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17220 (or 8610 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 49.

Adding to 37643317222225 its reverse (52222271334673), we get a palindrome (89865588556898).

The spelling of 37643317222225 in words is "thirty-seven trillion, six hundred forty-three billion, three hundred seventeen million, two hundred twenty-two thousand, two hundred twenty-five".