147672853893184 has 63 divisors (see below), whose sum is σ = 300368026653271. Its totient is φ = 72033594152960.

The previous prime is 147672853893181. The next prime is 147672853893233. The reversal of 147672853893184 is 481398358276741.

The square root of 147672853893184 is 12152072.

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

It can be written as a sum of positive squares in 4 ways, for example, as 98762412933184 + 48910440960000 = 9937928^2 + 6993600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 147672853893184.

It is not an unprimeable number, because it can be changed into a prime (147672853893181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3985861092 + ... + 3985898140.

Almost surely, 2^{147672853893184} is an apocalyptic number.

147672853893184 is the 12152072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147672853893184

147672853893184 is an abundant number, since it is smaller than the sum of its proper divisors (152695172760087).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147672853893184 is an frugal number, since it uses more digits than its factorization.

147672853893184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74192 (or 37092 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 76.

The spelling of 147672853893184 in words is "one hundred forty-seven trillion, six hundred seventy-two billion, eight hundred fifty-three million, eight hundred ninety-three thousand, one hundred eighty-four".