11346386688 has 540 divisors, whose sum is σ = 42433378680. Its totient is φ = 2988969984.

The previous prime is 11346386683. The next prime is 11346386707. The reversal of 11346386688 is 88668364311.

11346386688 is a `hidden beast` number, since 113 + 463 + 8 + 6 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11346386683) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13208403 + ... + 13209261.

Almost surely, 2^11346386688 is an apocalyptic number.

11346386688 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 11346386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21216689340).

11346386688 is an abundant number, since it is smaller than the sum of its proper divisors (31086991992).

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

11346386688 is an equidigital number, since it uses as much as digits as its factorization.

11346386688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 884 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 11346386688 in words is "eleven billion, three hundred forty-six million, three hundred eighty-six thousand, six hundred eighty-eight".