144823863168 has 224 divisors, whose sum is σ = 444278399160. Its totient is φ = 46968781824.

The previous prime is 144823863157. The next prime is 144823863179. The reversal of 144823863168 is 861368328441.

It is a happy number.

144823863168 is a `hidden beast` number, since 1 + 448 + 2 + 38 + 6 + 3 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (144823863157) and next prime (144823863179).

It is a super-4 number, since 4×144823863168⁴ (a number of 46 digits) contains 4444 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3431571 + ... + 3473517.

Almost surely, 2^144823863168 is an apocalyptic number.

144823863168 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 144823863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222139199580).

144823863168 is an abundant number, since it is smaller than the sum of its proper divisors (299454535992).

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

144823863168 is an frugal number, since it uses more digits than its factorization.

144823863168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42016 (or 41989 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 144823863168 in words is "one hundred forty-four billion, eight hundred twenty-three million, eight hundred sixty-three thousand, one hundred sixty-eight".