145872816489 has 15 divisors (see below), whose sum is σ = 217913910247. Its totient is φ = 97246252728.

The previous prime is 145872816457. The next prime is 145872816491. The reversal of 145872816489 is 984618278541.

The square root of 145872816489 is 381933.

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

145872816489 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 72 + 81 + 6 + 489 = 666.

145872816489 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 only one way, i.e., 145859067225 + 13749264 = 381915^2 + 3708^2 .

It is not a de Polignac number, because 145872816489 - 2⁵ = 145872816457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145872816409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3416179 + ... + 3458615.

Almost surely, 2^145872816489 is an apocalyptic number.

145872816489 is the 381933-rd square number.

145872816489 is the 190967-th centered octagonal number.

It is an amenable number.

145872816489 is a deficient number, since it is larger than the sum of its proper divisors (72041093758).

145872816489 is an frugal number, since it uses more digits than its factorization.

145872816489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84886 (or 42440 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

It can be divided in two parts, 145872 and 816489, that added together give a square (962361 = 981²).

The spelling of 145872816489 in words is "one hundred forty-five billion, eight hundred seventy-two million, eight hundred sixteen thousand, four hundred eighty-nine".