10338141228804 has 81 divisors (see below), whose sum is σ = 26637527796789. Its totient is φ = 3380692929120.

The previous prime is 10338141228797. The next prime is 10338141228809. The reversal of 10338141228804 is 40882214183301.

The square root of 10338141228804 is 3215298.

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

10338141228804 is a `hidden beast` number, since 1 + 0 + 3 + 381 + 41 + 228 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7452736200900 + 2885405027904 = 2729970^2 + 1698648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10338141228804.

It is not an unprimeable number, because it can be changed into a prime (10338141228809) by changing a digit.

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, 1022459709 + ... + 1022469819.

Almost surely, 2^{10338141228804} is an apocalyptic number.

10338141228804 is the 3215298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10338141228804

10338141228804 is an abundant number, since it is smaller than the sum of its proper divisors (16299386567985).

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

10338141228804 is an frugal number, since it uses more digits than its factorization.

10338141228804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20338 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10338141228804 in words is "ten trillion, three hundred thirty-eight billion, one hundred forty-one million, two hundred twenty-eight thousand, eight hundred four".