14233161644064 has 288 divisors, whose sum is σ = 46792643526720. Its totient is φ = 4055884185600.

The previous prime is 14233161644063. The next prime is 14233161644089. The reversal of 14233161644064 is 46044616133241.

14233161644064 is a `hidden beast` number, since 1 + 4 + 23 + 3 + 1 + 616 + 4 + 4 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (14233161644063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62952532 + ... + 63178220.

It is an arithmetic number, because the mean of its divisors is an integer number (162474456690).

Almost surely, 2^{14233161644064} 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 14233161644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23396321763360).

14233161644064 is an abundant number, since it is smaller than the sum of its proper divisors (32559481882656).

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

14233161644064 is a wasteful number, since it uses less digits than its factorization.

14233161644064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226904 (or 226893 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 14233161644064 in words is "fourteen trillion, two hundred thirty-three billion, one hundred sixty-one million, six hundred forty-four thousand, sixty-four".