11388724416 has 140 divisors (see below), whose sum is σ = 33985657200. Its totient is φ = 3770841600.

The previous prime is 11388724411. The next prime is 11388724441. The reversal of 11388724416 is 61442788311.

11388724416 is a `hidden beast` number, since 1 + 138 + 8 + 72 + 441 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (11388724411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 775510 + ... + 790058.

Almost surely, 2^11388724416 is an apocalyptic number.

11388724416 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 11388724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992828600).

11388724416 is an abundant number, since it is smaller than the sum of its proper divisors (22596932784).

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

11388724416 is a wasteful number, since it uses less digits than its factorization.

11388724416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14724 (or 14705 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 11388724416 in words is "eleven billion, three hundred eighty-eight million, seven hundred twenty-four thousand, four hundred sixteen".