6837268838401 has 2 divisors, whose sum is σ = 6837268838402. Its totient is φ = 6837268838400.

The previous prime is 6837268838399. The next prime is 6837268838429. The reversal of 6837268838401 is 1048388627386.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3770777538801 + 3066491299600 = 1941849^2 + 1751140^2 .

It is a cyclic number.

It is not a de Polignac number, because 6837268838401 - 2¹ = 6837268838399 is a prime.

Together with 6837268838399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (6837268838441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3418634419200 + 3418634419201.

It is an arithmetic number, because the mean of its divisors is an integer number (3418634419201).

Almost surely, 2^{6837268838401} is an apocalyptic number.

It is an amenable number.

6837268838401 is a deficient number, since it is larger than the sum of its proper divisors (1).

6837268838401 is an equidigital number, since it uses as much as digits as its factorization.

6837268838401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 74317824, while the sum is 64.

The spelling of 6837268838401 in words is "six trillion, eight hundred thirty-seven billion, two hundred sixty-eight million, eight hundred thirty-eight thousand, four hundred one".