211356616416 has 72 divisors (see below), whose sum is σ = 609833741832. Its totient is φ = 64047456000.

The previous prime is 211356616409. The next prime is 211356616477. The reversal of 211356616416 is 614616653112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9086035 + ... + 9109266.

It is an arithmetic number, because the mean of its divisors is an integer number (8469913081).

Almost surely, 2^211356616416 is an apocalyptic number.

It is an amenable number.

211356616416 is an abundant number, since it is smaller than the sum of its proper divisors (398477125416).

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

211356616416 is a wasteful number, since it uses less digits than its factorization.

211356616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18195336 (or 18195317 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The spelling of 211356616416 in words is "two hundred eleven billion, three hundred fifty-six million, six hundred sixteen thousand, four hundred sixteen".