11306016144 has 120 divisors (see below), whose sum is σ = 32834273472. Its totient is φ = 3629041920.

The previous prime is 11306016077. The next prime is 11306016151. The reversal of 11306016144 is 44161060311.

11306016144 is a `hidden beast` number, since 1 + 13 + 0 + 601 + 6 + 1 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426774 + ... + 452490.

Almost surely, 2^11306016144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11306016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16417136736).

11306016144 is an abundant number, since it is smaller than the sum of its proper divisors (21528257328).

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

11306016144 is a wasteful number, since it uses less digits than its factorization.

11306016144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25845 (or 25836 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11306016144 its reverse (44161060311), we get a palindrome (55467076455).

The spelling of 11306016144 in words is "eleven billion, three hundred six million, sixteen thousand, one hundred forty-four".