144263136099681 has 135 divisors (see below), whose sum is σ = 237180442965609. Its totient is φ = 87364448785152.

The previous prime is 144263136099629. The next prime is 144263136099689. The reversal of 144263136099681 is 186990631362441.

It is a happy number.

The square root of 144263136099681 is 12010959.

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

144263136099681 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 6 + 3 + 13 + 609 + 9 + 6 + 8 + 1 = 666.

144263136099681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14260177350225 + 130002958749456 = 3776265^2 + 11401884^2 .

It is not a de Polignac number, because 144263136099681 - 2¹³ = 144263136091489 is a prime.

It is a super-2 number, since 2×144263136099681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144263136099689) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 53292623730 + ... + 53292626436.

Almost surely, 2^{144263136099681} is an apocalyptic number.

144263136099681 is the 12010959-th square number.

144263136099681 is the 6005480-th centered octagonal number.

It is an amenable number.

144263136099681 is a deficient number, since it is larger than the sum of its proper divisors (92917306865928).

144263136099681 is an frugal number, since it uses more digits than its factorization.

144263136099681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 144263136099681 in words is "one hundred forty-four trillion, two hundred sixty-three billion, one hundred thirty-six million, ninety-nine thousand, six hundred eighty-one".