11306387808 has 96 divisors (see below), whose sum is σ = 32997172320. Its totient is φ = 3766487040.

The previous prime is 11306387801. The next prime is 11306387831. The reversal of 11306387808 is 80878360311.

11306387808 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 638 + 7 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11306387801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1967916 + ... + 1973652.

It is an arithmetic number, because the mean of its divisors is an integer number (343720545).

Almost surely, 2^11306387808 is an apocalyptic number.

11306387808 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 11306387808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498586160).

11306387808 is an abundant number, since it is smaller than the sum of its proper divisors (21690784512).

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

11306387808 is a wasteful number, since it uses less digits than its factorization.

11306387808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11306387808 in words is "eleven billion, three hundred six million, three hundred eighty-seven thousand, eight hundred eight".