11332322001000 has 1536 divisors, whose sum is σ = 52819640939520. Its totient is φ = 2114823168000.

The previous prime is 11332322000939. The next prime is 11332322001001. The reversal of 11332322001000 is 10022323311.

11332322001000 is a `hidden beast` number, since 1 + 1 + 332 + 32 + 200 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11332322001001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 333316002 + ... + 333349998.

It is an arithmetic number, because the mean of its divisors is an integer number (34387787070).

Almost surely, 2^{11332322001000} is an apocalyptic number.

11332322001000 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 11332322001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26409820469760).

11332322001000 is an abundant number, since it is smaller than the sum of its proper divisors (41487318938520).

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

11332322001000 is a wasteful number, since it uses less digits than its factorization.

11332322001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34092 (or 34075 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11332322001000 its reverse (10022323311), we get a palindrome (11342344324311).

The spelling of 11332322001000 in words is "eleven trillion, three hundred thirty-two billion, three hundred twenty-two million, one thousand".