216746160376032 has 144 divisors (see below), whose sum is σ = 728715539391840. Its totient is φ = 59792044225536.

The previous prime is 216746160376007. The next prime is 216746160376139. The reversal of 216746160376032 is 230673061647612.

216746160376032 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 461 + 60 + 37 + 60 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 216746160376032.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1853613543 + ... + 1853730470.

It is an arithmetic number, because the mean of its divisors is an integer number (5060524579110).

Almost surely, 2^{216746160376032} is an apocalyptic number.

It is an amenable number.

216746160376032 is an abundant number, since it is smaller than the sum of its proper divisors (511969379015808).

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

216746160376032 is a wasteful number, since it uses less digits than its factorization.

216746160376032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707344065 (or 3707344054 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 216746160376032 in words is "two hundred sixteen trillion, seven hundred forty-six billion, one hundred sixty million, three hundred seventy-six thousand, thirty-two".