208838946121 has 9 divisors (see below), whose sum is σ = 226145647029. Its totient is φ = 192768927936.

The previous prime is 208838946103. The next prime is 208838946137. The reversal of 208838946121 is 121649838802.

The square root of 208838946121 is 456989.

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

It can be written as a sum of positive squares in 4 ways, for example, as 167231105721 + 41607840400 = 408939^2 + 203980^2 .

It is not a de Polignac number, because 208838946121 - 2⁵ = 208838946089 is a prime.

It is a super-3 number, since 3×208838946121³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208838946161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5923281 + ... + 5958433.

Almost surely, 2^208838946121 is an apocalyptic number.

208838946121 is the 456989-th square number.

208838946121 is the 228495-th centered octagonal number.

It is an amenable number.

208838946121 is a deficient number, since it is larger than the sum of its proper divisors (17306700908).

208838946121 is an frugal number, since it uses more digits than its factorization.

208838946121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70332 (or 35166 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 208838946121 in words is "two hundred eight billion, eight hundred thirty-eight million, nine hundred forty-six thousand, one hundred twenty-one".