32395680144 has 135 divisors (see below), whose sum is σ = 92733483297. Its totient is φ = 10557376128.

The previous prime is 32395680127. The next prime is 32395680157. The reversal of 32395680144 is 44108659323.

The square root of 32395680144 is 179988.

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

It can be written as a sum of positive squares in only one way, i.e., 23353952400 + 9041727744 = 152820^2 + 95088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32395680144.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 114472227 + ... + 114472509.

Almost surely, 2^32395680144 is an apocalyptic number.

32395680144 is the 179988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32395680144

32395680144 is an abundant number, since it is smaller than the sum of its proper divisors (60337803153).

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

32395680144 is an equidigital number, since it uses as much as digits as its factorization.

32395680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 32395680144 in words is "thirty-two billion, three hundred ninety-five million, six hundred eighty thousand, one hundred forty-four".