38365448641 has 45 divisors (see below), whose sum is σ = 44595974943. Its totient is φ = 33000346080.

The previous prime is 38365448623. The next prime is 38365448659. The reversal of 38365448641 is 14684456383.

The square root of 38365448641 is 195871.

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

It is an interprime number because it is at equal distance from previous prime (38365448623) and next prime (38365448659).

It can be written as a sum of positive squares in 7 ways, for example, as 26137512241 + 12227936400 = 161671^2 + 110580^2 .

It is not a de Polignac number, because 38365448641 - 2²¹ = 38363351489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38365448041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 628941751 + ... + 628941811.

Almost surely, 2^38365448641 is an apocalyptic number.

38365448641 is the 195871-st square number.

38365448641 is the 97936-th centered octagonal number.

It is an amenable number.

38365448641 is a deficient number, since it is larger than the sum of its proper divisors (6230526302).

38365448641 is an frugal number, since it uses more digits than its factorization.

38365448641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 93 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 52.

The spelling of 38365448641 in words is "thirty-eight billion, three hundred sixty-five million, four hundred forty-eight thousand, six hundred forty-one".