11632332000 has 384 divisors, whose sum is σ = 40488215040. Its totient is φ = 2911334400.

The previous prime is 11632331969. The next prime is 11632332017. The reversal of 11632332000 is 23323611.

11632332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11632332000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37163844 + ... + 37164156.

It is an arithmetic number, because the mean of its divisors is an integer number (105438060).

Almost surely, 2^11632332000 is an apocalyptic number.

11632332000 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 11632332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244107520).

11632332000 is an abundant number, since it is smaller than the sum of its proper divisors (28855883040).

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

11632332000 is a wasteful number, since it uses less digits than its factorization.

11632332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11632332000 its reverse (23323611), we get a palindrome (11655655611).

The spelling of 11632332000 in words is "eleven billion, six hundred thirty-two million, three hundred thirty-two thousand".