144895945104 has 45 divisors (see below), whose sum is σ = 405520185889. Its totient is φ = 48297125760.

The previous prime is 144895945003. The next prime is 144895945109. The reversal of 144895945104 is 401549598441.

The square root of 144895945104 is 380652.

It is a perfect power (a square), and thus also a powerful number.

144895945104 is a `hidden beast` number, since 1 + 4 + 48 + 9 + 594 + 5 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4000815504 + 140895129600 = 63252^2 + 375360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144895945109) 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 8 ways as a sum of consecutive naturals, for example, 4551964 + ... + 4583684.

Almost surely, 2^144895945104 is an apocalyptic number.

144895945104 is the 380652-nd square number.

It is an amenable number.

144895945104 is an abundant number, since it is smaller than the sum of its proper divisors (260624240785).

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

144895945104 is an frugal number, since it uses more digits than its factorization.

144895945104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63456 (or 31726 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 144895945104 in words is "one hundred forty-four billion, eight hundred ninety-five million, nine hundred forty-five thousand, one hundred four".