144063426672 has 720 divisors, whose sum is σ = 501995370240. Its totient is φ = 38320128000.

The previous prime is 144063426671. The next prime is 144063426697. The reversal of 144063426672 is 276624360441.

144063426672 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 634 + 2 + 6 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144063426671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266290722 + ... + 266291262.

It is an arithmetic number, because the mean of its divisors is an integer number (697215792).

Almost surely, 2^144063426672 is an apocalyptic number.

144063426672 is a gapful number since it is divisible by the number (12) 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 144063426672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250997685120).

144063426672 is an abundant number, since it is smaller than the sum of its proper divisors (357931943568).

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

144063426672 is a wasteful number, since it uses less digits than its factorization.

144063426672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 144063426672 in words is "one hundred forty-four billion, sixty-three million, four hundred twenty-six thousand, six hundred seventy-two".