38686491648001 has 2 divisors, whose sum is σ = 38686491648002. Its totient is φ = 38686491648000.

The previous prime is 38686491647971. The next prime is 38686491648019. The reversal of 38686491648001 is 10084619468683.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33110541438976 + 5575950209025 = 5754176^2 + 2361345^2 .

It is a cyclic number.

It is not a de Polignac number, because 38686491648001 - 2³¹ = 38684344164353 is a prime.

It is a super-2 number, since 2×38686491648001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38686491648041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19343245824000 + 19343245824001.

It is an arithmetic number, because the mean of its divisors is an integer number (19343245824001).

Almost surely, 2^{38686491648001} is an apocalyptic number.

It is an amenable number.

38686491648001 is a deficient number, since it is larger than the sum of its proper divisors (1).

38686491648001 is an equidigital number, since it uses as much as digits as its factorization.

38686491648001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47775744, while the sum is 64.

The spelling of 38686491648001 in words is "thirty-eight trillion, six hundred eighty-six billion, four hundred ninety-one million, six hundred forty-eight thousand, one".