11881872016 has 135 divisors (see below), whose sum is σ = 28572384699. Its totient is φ = 4771759104.

The previous prime is 11881872011. The next prime is 11881872089. The reversal of 11881872016 is 61027818811.

The square root of 11881872016 is 109004.

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 6301184400 + 5580687616 = 79380^2 + 74704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11881872011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51885790 + ... + 51886018.

Almost surely, 2^11881872016 is an apocalyptic number.

11881872016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11881872016 is the 109004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11881872016

11881872016 is an abundant number, since it is smaller than the sum of its proper divisors (16690512683).

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

11881872016 is an equidigital number, since it uses as much as digits as its factorization.

11881872016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 43.

The spelling of 11881872016 in words is "eleven billion, eight hundred eighty-one million, eight hundred seventy-two thousand, sixteen".