147415298809 has 9 divisors (see below), whose sum is σ = 150940193103. Its totient is φ = 143970910272.

The previous prime is 147415298801. The next prime is 147415298827. The reversal of 147415298809 is 908892514741.

The square root of 147415298809 is 383947.

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

147415298809 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., 5527476409 + 141887822400 = 74347^2 + 376680^2 .

It is not a de Polignac number, because 147415298809 - 2³ = 147415298801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147415298801) 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 8 ways as a sum of consecutive naturals, for example, 16505257 + ... + 16514185.

It is an arithmetic number, because the mean of its divisors is an integer number (16771132567).

Almost surely, 2^147415298809 is an apocalyptic number.

147415298809 is the 383947-th square number.

147415298809 is the 191974-th centered octagonal number.

It is an amenable number.

147415298809 is a deficient number, since it is larger than the sum of its proper divisors (3524894294).

147415298809 is an frugal number, since it uses more digits than its factorization.

147415298809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17944 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

It can be divided in two parts, 147415 and 298809, that added together give a square (446224 = 668²).

The spelling of 147415298809 in words is "one hundred forty-seven billion, four hundred fifteen million, two hundred ninety-eight thousand, eight hundred nine".