11772639352384 has 189 divisors, whose sum is σ = 24328346031171. Its totient is φ = 5652303022080.

The previous prime is 11772639352361. The next prime is 11772639352399. The reversal of 11772639352384 is 48325393627711.

The square root of 11772639352384 is 3431128.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7631251550784 + 4141387801600 = 2762472^2 + 2035040^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132276846612 + ... + 132276846700.

Almost surely, 2^{11772639352384} is an apocalyptic number.

11772639352384 is the 3431128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11772639352384

11772639352384 is an abundant number, since it is smaller than the sum of its proper divisors (12555706678787).

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

11772639352384 is an frugal number, since it uses more digits than its factorization.

11772639352384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 231 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 61.

The spelling of 11772639352384 in words is "eleven trillion, seven hundred seventy-two billion, six hundred thirty-nine million, three hundred fifty-two thousand, three hundred eighty-four".