338096003645200 has 60 divisors (see below), whose sum is σ = 813071218445668. Its totient is φ = 135105944486400.

The previous prime is 338096003645137. The next prime is 338096003645207. The reversal of 338096003645200 is 2546300690833.

It can be written as a sum of positive squares in 6 ways, for example, as 41783709697024 + 296312293948176 = 6464032^2 + 17213724^2 .

It is a super-3 number, since 3×338096003645200³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (338096003645207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413519127 + ... + 414335926.

Almost surely, 2^{338096003645200} is an apocalyptic number.

It is an amenable number.

338096003645200 is an abundant number, since it is smaller than the sum of its proper divisors (474975214800468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338096003645200 is a wasteful number, since it uses less digits than its factorization.

338096003645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827856092 (or 827856081 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

The spelling of 338096003645200 in words is "three hundred thirty-eight trillion, ninety-six billion, three million, six hundred forty-five thousand, two hundred".