216137916 has 72 divisors (see below), whose sum is σ = 569792720. Its totient is φ = 70852320.

The previous prime is 216137897. The next prime is 216137963. The reversal of 216137916 is 619731612.

216137916 is a `hidden beast` number, since 21 + 613 + 7 + 9 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544230 + ... + 544626.

Almost surely, 2^216137916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216137916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284896360).

216137916 is an abundant number, since it is smaller than the sum of its proper divisors (353654804).

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

216137916 is a wasteful number, since it uses less digits than its factorization.

216137916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 473 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 216137916 is about 14701.6297055803. The cubic root of 216137916 is about 600.1276728308.

The spelling of 216137916 in words is "two hundred sixteen million, one hundred thirty-seven thousand, nine hundred sixteen".