32724542315361 has 16 divisors (see below), whose sum is σ = 47176293931200. Its totient is φ = 20057948088000.

The previous prime is 32724542315303. The next prime is 32724542315371. The reversal of 32724542315361 is 16351324542723.

It is a happy number.

It is not a de Polignac number, because 32724542315361 - 2²² = 32724538121057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32724542315361.

It is not an unprimeable number, because it can be changed into a prime (32724542315371) 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 15 ways as a sum of consecutive naturals, for example, 1671485886 + ... + 1671505463.

It is an arithmetic number, because the mean of its divisors is an integer number (2948518370700).

Almost surely, 2^{32724542315361} is an apocalyptic number.

It is an amenable number.

32724542315361 is a deficient number, since it is larger than the sum of its proper divisors (14451751615839).

32724542315361 is a wasteful number, since it uses less digits than its factorization.

32724542315361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342991616.

The product of its digits is 3628800, while the sum is 48.

The spelling of 32724542315361 in words is "thirty-two trillion, seven hundred twenty-four billion, five hundred forty-two million, three hundred fifteen thousand, three hundred sixty-one".