11338652160 has 480 divisors, whose sum is σ = 44452279872. Its totient is φ = 2747105280.

The previous prime is 11338652159. The next prime is 11338652191. The reversal of 11338652160 is 6125683311.

11338652160 is a `hidden beast` number, since 113 + 386 + 5 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6842052 + ... + 6843708.

Almost surely, 2^11338652160 is an apocalyptic number.

11338652160 is a gapful number since it is divisible by the number (10) 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 11338652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226139936).

11338652160 is an abundant number, since it is smaller than the sum of its proper divisors (33113627712).

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

11338652160 is an equidigital number, since it uses as much as digits as its factorization.

11338652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11338652160 in words is "eleven billion, three hundred thirty-eight million, six hundred fifty-two thousand, one hundred sixty".