3837745558081 has 2 divisors, whose sum is σ = 3837745558082. Its totient is φ = 3837745558080.

The previous prime is 3837745558037. The next prime is 3837745558091. The reversal of 3837745558081 is 1808555477383.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2400345983025 + 1437399575056 = 1549305^2 + 1198916^2 .

It is a cyclic number.

It is not a de Polignac number, because 3837745558081 - 2³⁷ = 3700306604609 is a prime.

It is a super-2 number, since 2×3837745558081² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3837745558091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1918872779040 + 1918872779041.

It is an arithmetic number, because the mean of its divisors is an integer number (1918872779041).

Almost surely, 2^{3837745558081} is an apocalyptic number.

It is an amenable number.

3837745558081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3837745558081 is an equidigital number, since it uses as much as digits as its factorization.

3837745558081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112896000, while the sum is 64.

The spelling of 3837745558081 in words is "three trillion, eight hundred thirty-seven billion, seven hundred forty-five million, five hundred fifty-eight thousand, eighty-one".