368133427600 has 135 divisors (see below), whose sum is σ = 925267899073. Its totient is φ = 140744264320.

The previous prime is 368133427579. The next prime is 368133427667. The reversal of 368133427600 is 6724331863.

The square root of 368133427600 is 606740.

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

It can be written as a sum of positive squares in only one way, i.e., 132528033936 + 235605393664 = 364044^2 + 485392^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 279099741 + ... + 279101059.

Almost surely, 2^368133427600 is an apocalyptic number.

368133427600 is the 606740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368133427600

368133427600 is an abundant number, since it is smaller than the sum of its proper divisors (557134471473).

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

368133427600 is an equidigital number, since it uses as much as digits as its factorization.

368133427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 368133427600 in words is "three hundred sixty-eight billion, one hundred thirty-three million, four hundred twenty-seven thousand, six hundred".