838801371321 has 45 divisors (see below), whose sum is σ = 1250866728969. Its totient is φ = 541647522288.

The previous prime is 838801371307. The next prime is 838801371347. The reversal of 838801371321 is 123173108838.

The square root of 838801371321 is 915861.

It is a perfect power (a square), and thus also a powerful number.

838801371321 is a `hidden beast` number, since 8 + 388 + 0 + 137 + 132 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 523002329721 + 315799041600 = 723189^2 + 561960^2 .

It is not a de Polignac number, because 838801371321 - 2³⁷ = 701362417849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (838801371521) 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 in 44 ways as a sum of consecutive naturals, for example, 3761441016 + ... + 3761441238.

Almost surely, 2^838801371321 is an apocalyptic number.

838801371321 is the 915861-st square number.

838801371321 is the 457931-st centered octagonal number.

It is an amenable number.

838801371321 is a deficient number, since it is larger than the sum of its proper divisors (412065357648).

838801371321 is an frugal number, since it uses more digits than its factorization.

838801371321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 838801371321 in words is "eight hundred thirty-eight billion, eight hundred one million, three hundred seventy-one thousand, three hundred twenty-one".