38846985580225 has 81 divisors (see below), whose sum is σ = 49641412075803. Its totient is φ = 30156465024000.

The previous prime is 38846985580211. The next prime is 38846985580237. The reversal of 38846985580225 is 52208558964883.

The square root of 38846985580225 is 6232735.

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 38548415135169 + 298570445056 = 6208737^2 + 546416^2 .

It is not a de Polignac number, because 38846985580225 - 2²¹ = 38846983483073 is a prime.

It is a super-2 number, since 2×38846985580225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 214624229635 + ... + 214624229815.

Almost surely, 2^{38846985580225} is an apocalyptic number.

38846985580225 is the 6232735-th square number.

38846985580225 is the 3116368-th centered octagonal number.

It is an amenable number.

38846985580225 is a deficient number, since it is larger than the sum of its proper divisors (10794426495578).

38846985580225 is an frugal number, since it uses more digits than its factorization.

38846985580225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1327104000, while the sum is 73.

The spelling of 38846985580225 in words is "thirty-eight trillion, eight hundred forty-six billion, nine hundred eighty-five million, five hundred eighty thousand, two hundred twenty-five".