11638483200 has 648 divisors, whose sum is σ = 44072956928. Its totient is φ = 2926264320.

The previous prime is 11638483189. The next prime is 11638483217. The reversal of 11638483200 is 238483611.

11638483200 is a `hidden beast` number, since 11 + 638 + 4 + 8 + 3 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91641537 + ... + 91641663.

Almost surely, 2^11638483200 is an apocalyptic number.

11638483200 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 11638483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22036478464).

11638483200 is an abundant number, since it is smaller than the sum of its proper divisors (32434473728).

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

11638483200 is a wasteful number, since it uses less digits than its factorization.

11638483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11638483200 in words is "eleven billion, six hundred thirty-eight million, four hundred eighty-three thousand, two hundred".