144058961601 has 9 divisors (see below), whose sum is σ = 208086811491. Its totient is φ = 96038548632.

The previous prime is 144058961551. The next prime is 144058961603. The reversal of 144058961601 is 106169850441.

The square root of 144058961601 is 379551.

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

144058961601 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 589 + 6 + 1 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56927025 + 144002034576 = 7545^2 + 379476^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 144058961601 - 2⁹ = 144058961089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144058961603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1075395 + ... + 1201911.

Almost surely, 2^144058961601 is an apocalyptic number.

144058961601 is the 379551-st square number.

144058961601 is the 189776-th centered octagonal number.

It is an amenable number.

144058961601 is a deficient number, since it is larger than the sum of its proper divisors (64027849890).

144058961601 is an frugal number, since it uses more digits than its factorization.

144058961601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253040 (or 126520 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 144058961601 in words is "one hundred forty-four billion, fifty-eight million, nine hundred sixty-one thousand, six hundred one".