368633551104 has 729 divisors, whose sum is σ = 1348513661313. Its totient is φ = 96522596352.

The previous prime is 368633551087. The next prime is 368633551141. The reversal of 368633551104 is 401155336863.

The square root of 368633551104 is 607152.

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

368633551104 is a `hidden beast` number, since 3 + 6 + 8 + 633 + 5 + 5 + 1 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54531590400 + 314101960704 = 233520^2 + 560448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 368633551104.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2652039867 + ... + 2652040005.

Almost surely, 2^368633551104 is an apocalyptic number.

368633551104 is the 607152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368633551104

368633551104 is an abundant number, since it is smaller than the sum of its proper divisors (979880110209).

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

368633551104 is a wasteful number, since it uses less digits than its factorization.

368633551104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 368633551104 its reverse (401155336863), we get a palindrome (769788887967).

The spelling of 368633551104 in words is "three hundred sixty-eight billion, six hundred thirty-three million, five hundred fifty-one thousand, one hundred four".