11481632000 has 108 divisors (see below), whose sum is σ = 28650010116. Its totient is φ = 4584985600.

The previous prime is 11481631979. The next prime is 11481632003. The reversal of 11481632000 is 23618411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 367412224 + 11114219776 = 19168^2 + 105424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11481632003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19167701 + ... + 19168299.

Almost surely, 2^11481632000 is an apocalyptic number.

11481632000 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 11481632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325005058).

11481632000 is an abundant number, since it is smaller than the sum of its proper divisors (17168378116).

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

11481632000 is an frugal number, since it uses more digits than its factorization.

11481632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 11481632000 in words is "eleven billion, four hundred eighty-one million, six hundred thirty-two thousand".