1138173189904 has 135 divisors (see below), whose sum is σ = 2430615466461. Its totient is φ = 516185671680.

The previous prime is 1138173189899. The next prime is 1138173189929. The reversal of 1138173189904 is 4099813718311.

The square root of 1138173189904 is 1066852.

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

It can be written as a sum of positive squares in 13 ways, for example, as 330418032400 + 807755157504 = 574820^2 + 898752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2103831874 + ... + 2103832414.

Almost surely, 2^{1138173189904} is an apocalyptic number.

1138173189904 is the 1066852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138173189904

1138173189904 is an abundant number, since it is smaller than the sum of its proper divisors (1292442276557).

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

1138173189904 is an frugal number, since it uses more digits than its factorization.

1138173189904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 55.

The spelling of 1138173189904 in words is "one trillion, one hundred thirty-eight billion, one hundred seventy-three million, one hundred eighty-nine thousand, nine hundred four".