11380144896 has 378 divisors, whose sum is σ = 36350910932. Its totient is φ = 3553320960.

The previous prime is 11380144889. The next prime is 11380144927. The reversal of 11380144896 is 69844108311.

11380144896 is a `hidden beast` number, since 113 + 8 + 0 + 1 + 448 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 53934231 + ... + 53934441.

Almost surely, 2^11380144896 is an apocalyptic number.

11380144896 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 11380144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175455466).

11380144896 is an abundant number, since it is smaller than the sum of its proper divisors (24970766036).

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

11380144896 is an frugal number, since it uses more digits than its factorization.

11380144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11380144896 in words is "eleven billion, three hundred eighty million, one hundred forty-four thousand, eight hundred ninety-six".