37638457081 has 2 divisors, whose sum is σ = 37638457082. Its totient is φ = 37638457080.

The previous prime is 37638457063. The next prime is 37638457117. The reversal of 37638457081 is 18075483673.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27494945856 + 10143511225 = 165816^2 + 100715^2 .

It is a cyclic number.

It is not a de Polignac number, because 37638457081 - 2⁵ = 37638457049 is a prime.

It is a super-2 number, since 2×37638457081² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37638457001) by changing a digit.

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 as a sum of consecutive naturals, namely, 18819228540 + 18819228541.

It is an arithmetic number, because the mean of its divisors is an integer number (18819228541).

Almost surely, 2^37638457081 is an apocalyptic number.

It is an amenable number.

37638457081 is a deficient number, since it is larger than the sum of its proper divisors (1).

37638457081 is an equidigital number, since it uses as much as digits as its factorization.

37638457081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 37638457081 in words is "thirty-seven billion, six hundred thirty-eight million, four hundred fifty-seven thousand, eighty-one".