144768006741888 has 96 divisors (see below), whose sum is σ = 441090020601360. Its totient is φ = 45417413873664.

The previous prime is 144768006741863. The next prime is 144768006741889. The reversal of 144768006741888 is 888147600867441.

144768006741888 is a `hidden beast` number, since 1 + 4 + 4 + 76 + 8 + 0 + 0 + 67 + 418 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144768006741889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3696059020 + ... + 3696098187.

Almost surely, 2^{144768006741888} is an apocalyptic number.

144768006741888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144768006741888 is an abundant number, since it is smaller than the sum of its proper divisors (296322013859472).

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

144768006741888 is a wasteful number, since it uses less digits than its factorization.

144768006741888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392157244 (or 7392157229 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 144768006741888 in words is "one hundred forty-four trillion, seven hundred sixty-eight billion, six million, seven hundred forty-one thousand, eight hundred eighty-eight".