11314411332000 has 768 divisors, whose sum is σ = 44318273126400. Its totient is φ = 2469356544000.

The previous prime is 11314411331999. The next prime is 11314411332053. The reversal of 11314411332000 is 23311441311.

It is a happy number.

11314411332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161833051 + ... + 161902949.

It is an arithmetic number, because the mean of its divisors is an integer number (57706084800).

Almost surely, 2^{11314411332000} is an apocalyptic number.

11314411332000 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 11314411332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22159136563200).

11314411332000 is an abundant number, since it is smaller than the sum of its proper divisors (33003861794400).

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

11314411332000 is a wasteful number, since it uses less digits than its factorization.

11314411332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70022 (or 70004 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11314411332000 its reverse (23311441311), we get a palindrome (11337722773311).

The spelling of 11314411332000 in words is "eleven trillion, three hundred fourteen billion, four hundred eleven million, three hundred thirty-two thousand".