144676551168 has 320 divisors, whose sum is σ = 444499228800. Its totient is φ = 46407352320.

The previous prime is 144676551163. The next prime is 144676551179. The reversal of 144676551168 is 861155676441.

144676551168 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 7 + 65 + 511 + 68 = 666.

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

Its product of digits (4838400) is a multiple of the sum of its prime factors (1260).

It is not an unprimeable number, because it can be changed into a prime (144676551163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225704128 + ... + 225704768.

It is an arithmetic number, because the mean of its divisors is an integer number (1389060090).

Almost surely, 2^144676551168 is an apocalyptic number.

144676551168 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 144676551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222249614400).

144676551168 is an abundant number, since it is smaller than the sum of its proper divisors (299822677632).

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

144676551168 is an equidigital number, since it uses as much as digits as its factorization.

144676551168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1238 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 144676551168 in words is "one hundred forty-four billion, six hundred seventy-six million, five hundred fifty-one thousand, one hundred sixty-eight".