144384227568 has 480 divisors, whose sum is σ = 520428912640. Its totient is φ = 37816554240.

The previous prime is 144384227539. The next prime is 144384227579. The reversal of 144384227568 is 865722483441.

144384227568 is a `hidden beast` number, since 1 + 4 + 4 + 38 + 42 + 2 + 7 + 568 = 666.

It is a super-2 number, since 2×144384227568² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16025721 + ... + 16034727.

Almost surely, 2^144384227568 is an apocalyptic number.

144384227568 is a gapful number since it is divisible by the number (18) 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 144384227568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260214456320).

144384227568 is an abundant number, since it is smaller than the sum of its proper divisors (376044685072).

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

144384227568 is a wasteful number, since it uses less digits than its factorization.

144384227568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9069 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 144384227568 in words is "one hundred forty-four billion, three hundred eighty-four million, two hundred twenty-seven thousand, five hundred sixty-eight".