11331452352000 has 640 divisors, whose sum is σ = 41153419726848. Its totient is φ = 2743394304000.

The previous prime is 11331452351983. The next prime is 11331452352029. The reversal of 11331452352000 is 25325413311.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1822652892 + ... + 1822659108.

Almost surely, 2^{11331452352000} is an apocalyptic number.

11331452352000 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 11331452352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576709863424).

11331452352000 is an abundant number, since it is smaller than the sum of its proper divisors (29821967374848).

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

11331452352000 is an equidigital number, since it uses as much as digits as its factorization.

11331452352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7127 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 11331452352000 its reverse (25325413311), we get a palindrome (11356777765311).

The spelling of 11331452352000 in words is "eleven trillion, three hundred thirty-one billion, four hundred fifty-two million, three hundred fifty-two thousand".