67216482144 has 288 divisors, whose sum is σ = 222161232384. Its totient is φ = 18880542720.

The previous prime is 67216482143. The next prime is 67216482161. The reversal of 67216482144 is 44128461276.

67216482144 is a `hidden beast` number, since 6 + 7 + 21 + 6 + 482 + 144 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 67216482144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67216482143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65194909 + ... + 65195939.

It is an arithmetic number, because the mean of its divisors is an integer number (771393168).

Almost surely, 2^67216482144 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 67216482144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111080616192).

67216482144 is an abundant number, since it is smaller than the sum of its proper divisors (154944750240).

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

67216482144 is a wasteful number, since it uses less digits than its factorization.

67216482144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1559 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 67216482144 in words is "sixty-seven billion, two hundred sixteen million, four hundred eighty-two thousand, one hundred forty-four".