11386648000 has 224 divisors, whose sum is σ = 34708722048. Its totient is φ = 3603456000.

The previous prime is 11386647953. The next prime is 11386648027. The reversal of 11386648000 is 84668311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720180 + ... + 735820.

It is an arithmetic number, because the mean of its divisors is an integer number (154949652).

Almost surely, 2^11386648000 is an apocalyptic number.

11386648000 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 11386648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17354361024).

11386648000 is an abundant number, since it is smaller than the sum of its proper divisors (23322074048).

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

11386648000 is a wasteful number, since it uses less digits than its factorization.

11386648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15688 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 11386648000 in words is "eleven billion, three hundred eighty-six million, six hundred forty-eight thousand".