11444505546144 has 144 divisors (see below), whose sum is σ = 33040426728960. Its totient is φ = 3466010803200.

The previous prime is 11444505546119. The next prime is 11444505546151. The reversal of 11444505546144 is 44164550544411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11444505546093 and 11444505546102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19704897 + ... + 20277375.

It is an arithmetic number, because the mean of its divisors is an integer number (229447407840).

Almost surely, 2^{11444505546144} 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 11444505546144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520213364480).

11444505546144 is an abundant number, since it is smaller than the sum of its proper divisors (21595921182816).

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

11444505546144 is a wasteful number, since it uses less digits than its factorization.

11444505546144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574235 (or 574216 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 48.

The spelling of 11444505546144 in words is "eleven trillion, four hundred forty-four billion, five hundred five million, five hundred forty-six thousand, one hundred forty-four".