11144263776 has 96 divisors (see below), whose sum is σ = 31122258048. Its totient is φ = 3479562240.

The previous prime is 11144263769. The next prime is 11144263787. The reversal of 11144263776 is 67736244111.

11144263776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328171 + ... + 360533.

It is an arithmetic number, because the mean of its divisors is an integer number (324190188).

Almost surely, 2^11144263776 is an apocalyptic number.

11144263776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144263776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561129024).

11144263776 is an abundant number, since it is smaller than the sum of its proper divisors (19977994272).

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

11144263776 is a wasteful number, since it uses less digits than its factorization.

11144263776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32604 (or 32596 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The spelling of 11144263776 in words is "eleven billion, one hundred forty-four million, two hundred sixty-three thousand, seven hundred seventy-six".