838139904001 has 2 divisors, whose sum is σ = 838139904002. Its totient is φ = 838139904000.

The previous prime is 838139903977. The next prime is 838139904011. The reversal of 838139904001 is 100409931838.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 767242853776 + 70897050225 = 875924^2 + 266265^2 .

It is a cyclic number.

It is not a de Polignac number, because 838139904001 - 2¹³ = 838139895809 is a prime.

It is not a weakly prime, because it can be changed into another prime (838139904011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419069952000 + 419069952001.

It is an arithmetic number, because the mean of its divisors is an integer number (419069952001).

Almost surely, 2^838139904001 is an apocalyptic number.

It is an amenable number.

838139904001 is a deficient number, since it is larger than the sum of its proper divisors (1).

838139904001 is an equidigital number, since it uses as much as digits as its factorization.

838139904001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 838139904001 in words is "eight hundred thirty-eight billion, one hundred thirty-nine million, nine hundred four thousand, one".