144440661456153 has 12 divisors (see below), whose sum is σ = 208642272197268. Its totient is φ = 96291115286400.

The previous prime is 144440661456139. The next prime is 144440661456163. The reversal of 144440661456153 is 351654166044441.

144440661456153 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 0 + 6 + 6 + 14 + 5 + 615 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4868364234969 + 139572297221184 = 2206437^2 + 11814072^2 .

It is not a de Polignac number, because 144440661456153 - 2⁴ = 144440661456137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144440661456153.

It is not an unprimeable number, because it can be changed into a prime (144440661456163) 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, 221240748 + ... + 221892653.

It is an arithmetic number, because the mean of its divisors is an integer number (17386856016439).

Almost surely, 2^{144440661456153} is an apocalyptic number.

It is an amenable number.

144440661456153 is a deficient number, since it is larger than the sum of its proper divisors (64201610741115).

144440661456153 is a wasteful number, since it uses less digits than its factorization.

144440661456153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443169624 (or 443169621 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 144440661456153 in words is "one hundred forty-four trillion, four hundred forty billion, six hundred sixty-one million, four hundred fifty-six thousand, one hundred fifty-three".