368121078800 has 30 divisors (see below), whose sum is σ = 884410892778. Its totient is φ = 147248431360.

The previous prime is 368121078757. The next prime is 368121078811. The reversal of 368121078800 is 8870121863.

It can be written as a sum of positive squares in 3 ways, for example, as 71344546816 + 296776531984 = 267104^2 + 544772^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 460150949 + ... + 460151748.

Almost surely, 2^368121078800 is an apocalyptic number.

It is an amenable number.

368121078800 is an abundant number, since it is smaller than the sum of its proper divisors (516289813978).

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

368121078800 is a wasteful number, since it uses less digits than its factorization.

368121078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920302715 (or 920302704 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 368121078800 in words is "three hundred sixty-eight billion, one hundred twenty-one million, seventy-eight thousand, eight hundred".