38221884288225 has 243 divisors, whose sum is σ = 76285221246507. Its totient is φ = 18280075968000.

The previous prime is 38221884288199. The next prime is 38221884288283. The reversal of 38221884288225 is 52288248812283.

It is a happy number.

The square root of 38221884288225 is 6182385.

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

38221884288225 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 188 + 428 + 8 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 32294568174561 + 5927316113664 = 5682831^2 + 2434608^2 .

It is not a de Polignac number, because 38221884288225 - 2²⁹ = 38221347417313 is a prime.

It is a super-2 number, since 2×38221884288225² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 90788323515 + ... + 90788323935.

Almost surely, 2^{38221884288225} is an apocalyptic number.

38221884288225 is the 6182385-th square number.

38221884288225 is the 3091193-rd centered octagonal number.

It is an amenable number.

38221884288225 is a deficient number, since it is larger than the sum of its proper divisors (38063336958282).

38221884288225 is an equidigital number, since it uses as much as digits as its factorization.

38221884288225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 529 counting only the distinct ones).

The product of its digits is 62914560, while the sum is 63.

The spelling of 38221884288225 in words is "thirty-eight trillion, two hundred twenty-one billion, eight hundred eighty-four million, two hundred eighty-eight thousand, two hundred twenty-five".