11306399616 has 384 divisors, whose sum is σ = 36763084800. Its totient is φ = 3317428224.

The previous prime is 11306399581. The next prime is 11306399641. The reversal of 11306399616 is 61699360311.

It is a happy number.

11306399616 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 639 + 9 + 6 + 1 + 6 = 666.

11306399616 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 (384).

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 47 ways as a sum of consecutive naturals, for example, 18626385 + ... + 18626991.

It is an arithmetic number, because the mean of its divisors is an integer number (95737200).

Almost surely, 2^11306399616 is an apocalyptic number.

11306399616 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 11306399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18381542400).

11306399616 is an abundant number, since it is smaller than the sum of its proper divisors (25456685184).

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

11306399616 is a wasteful number, since it uses less digits than its factorization.

11306399616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 11306399616 in words is "eleven billion, three hundred six million, three hundred ninety-nine thousand, six hundred sixteen".