11681438867344 has 135 divisors (see below), whose sum is σ = 23980358379537. Its totient is φ = 5512247193600.

The previous prime is 11681438867333. The next prime is 11681438867353. The reversal of 11681438867344 is 44376883418611.

The square root of 11681438867344 is 3417812.

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

11681438867344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10544229907344 + 1137208960000 = 3247188^2 + 1066400^2 .

It is a super-2 number, since 2×11681438867344² (a number of 27 digits) contains 22 as substring.

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, 18223773264 + ... + 18223773904.

Almost surely, 2^{11681438867344} is an apocalyptic number.

11681438867344 is the 3417812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11681438867344

11681438867344 is an abundant number, since it is smaller than the sum of its proper divisors (12298919512193).

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

11681438867344 is an frugal number, since it uses more digits than its factorization.

11681438867344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 717 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 64.

Multiplying 11681438867344 by its sum of digits (64), we get a square (747612087510016 = 27342496²).

The spelling of 11681438867344 in words is "eleven trillion, six hundred eighty-one billion, four hundred thirty-eight million, eight hundred sixty-seven thousand, three hundred forty-four".