144386121989592 has 288 divisors, whose sum is σ = 463474258790400. Its totient is φ = 40481089504128.

The previous prime is 144386121989587. The next prime is 144386121989597. The reversal of 144386121989592 is 295989121683441.

144386121989592 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 8 + 6 + 1 + 21 + 9 + 8 + 9 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (144386121989587) and next prime (144386121989597).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 144386121989592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144386121989597) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43840953 + ... + 47019159.

It is an arithmetic number, because the mean of its divisors is an integer number (1609285620800).

Almost surely, 2^{144386121989592} is an apocalyptic number.

144386121989592 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 144386121989592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231737129395200).

144386121989592 is an abundant number, since it is smaller than the sum of its proper divisors (319088136800808).

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

144386121989592 is a wasteful number, since it uses less digits than its factorization.

144386121989592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178475 (or 3178461 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 144386121989592 in words is "one hundred forty-four trillion, three hundred eighty-six billion, one hundred twenty-one million, nine hundred eighty-nine thousand, five hundred ninety-two".