11380628448 has 144 divisors (see below), whose sum is σ = 37044405216. Its totient is φ = 3246566400.

The previous prime is 11380628447. The next prime is 11380628477. The reversal of 11380628448 is 84482608311.

11380628448 is a `hidden beast` number, since 1 + 13 + 8 + 0 + 628 + 4 + 4 + 8 = 666.

11380628448 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 (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11380628447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1409190 + ... + 1417242.

It is an arithmetic number, because the mean of its divisors is an integer number (257252814).

Almost surely, 2^11380628448 is an apocalyptic number.

11380628448 is a gapful number since it is divisible by the number (18) 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 11380628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18522202608).

11380628448 is an abundant number, since it is smaller than the sum of its proper divisors (25663776768).

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

11380628448 is a wasteful number, since it uses less digits than its factorization.

11380628448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 11380628448 in words is "eleven billion, three hundred eighty million, six hundred twenty-eight thousand, four hundred forty-eight".