216206475167736 has 384 divisors, whose sum is σ = 619417081221120. Its totient is φ = 67993089196032.

The previous prime is 216206475167717. The next prime is 216206475167741. The reversal of 216206475167736 is 637761574602612.

216206475167736 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 0 + 6 + 47 + 516 + 7 + 73 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90957708180 + ... + 90957710556.

It is an arithmetic number, because the mean of its divisors is an integer number (1613065315680).

Almost surely, 2^{216206475167736} 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 216206475167736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309708540610560).

216206475167736 is an abundant number, since it is smaller than the sum of its proper divisors (403210606053384).

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

216206475167736 is a wasteful number, since it uses less digits than its factorization.

216206475167736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 216206475167736 in words is "two hundred sixteen trillion, two hundred six billion, four hundred seventy-five million, one hundred sixty-seven thousand, seven hundred thirty-six".