147518214561 has 45 divisors (see below), whose sum is σ = 226911535669. Its totient is φ = 92351508288.

The previous prime is 147518214551. The next prime is 147518214577. The reversal of 147518214561 is 165412815741.

It is a happy number.

The square root of 147518214561 is 384081.

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

147518214561 is a `hidden beast` number, since 1 + 4 + 7 + 5 + 1 + 82 + 1 + 4 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45782732961 + 101735481600 = 213969^2 + 318960^2 .

It is not a de Polignac number, because 147518214561 - 2⁷ = 147518214433 is a prime.

It is a Duffinian number.

Its product of digits (268800) is a multiple of the sum of its prime factors (960).

It is not an unprimeable number, because it can be changed into a prime (147518214551) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 332998006 + ... + 332998448.

Almost surely, 2^147518214561 is an apocalyptic number.

147518214561 is the 384081-st square number.

147518214561 is the 192041-st centered octagonal number.

It is an amenable number.

147518214561 is a deficient number, since it is larger than the sum of its proper divisors (79393321108).

147518214561 is an frugal number, since it uses more digits than its factorization.

147518214561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 463 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 147518214561 in words is "one hundred forty-seven billion, five hundred eighteen million, two hundred fourteen thousand, five hundred sixty-one".