11214161416000 has 112 divisors (see below), whose sum is σ = 27836315200512. Its totient is φ = 4475255616000.

The previous prime is 11214161415983. The next prime is 11214161416013. The reversal of 11214161416000 is 61416141211.

It is a self number, because there is not a number n which added to its sum of digits gives 11214161416000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821817 + ... + 5074183.

It is an arithmetic number, because the mean of its divisors is an integer number (248538528576).

Almost surely, 2^{11214161416000} is an apocalyptic number.

11214161416000 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 11214161416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918157600256).

11214161416000 is an abundant number, since it is smaller than the sum of its proper divisors (16622153784512).

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

11214161416000 is an equidigital number, since it uses as much as digits as its factorization.

11214161416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252825 (or 3252805 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 11214161416000 its reverse (61416141211), we get a palindrome (11275577557211).

The spelling of 11214161416000 in words is "eleven trillion, two hundred fourteen billion, one hundred sixty-one million, four hundred sixteen thousand".