11544763376 has 80 divisors (see below), whose sum is σ = 24136937280. Its totient is φ = 5329367040.

The previous prime is 11544763303. The next prime is 11544763397. The reversal of 11544763376 is 67336744511.

11544763376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11544763376² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11544763376.

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, 8444645 + ... + 8446011.

It is an arithmetic number, because the mean of its divisors is an integer number (301711716).

Almost surely, 2^11544763376 is an apocalyptic number.

11544763376 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 11544763376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068468640).

11544763376 is an abundant number, since it is smaller than the sum of its proper divisors (12592173904).

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

11544763376 is a wasteful number, since it uses less digits than its factorization.

11544763376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1956 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 47.

The spelling of 11544763376 in words is "eleven billion, five hundred forty-four million, seven hundred sixty-three thousand, three hundred seventy-six".