11034214220032 has 72 divisors (see below), whose sum is σ = 22636832381856. Its totient is φ = 5365061861376.

The previous prime is 11034214220011. The next prime is 11034214220041. The reversal of 11034214220032 is 23002241243011.

It is a super-2 number, since 2×11034214220032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11034214219979 and 11034214220006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290928 + ... + 4706704.

It is an arithmetic number, because the mean of its divisors is an integer number (314400449748).

Almost surely, 2^{11034214220032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11034214220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318416190928).

11034214220032 is an abundant number, since it is smaller than the sum of its proper divisors (11602618161824).

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

11034214220032 is an equidigital number, since it uses as much as digits as its factorization.

11034214220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416063 (or 4416049 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11034214220032 its reverse (23002241243011), we get a palindrome (34036455463043).

The spelling of 11034214220032 in words is "eleven trillion, thirty-four billion, two hundred fourteen million, two hundred twenty thousand, thirty-two".