216941164505856 has 432 divisors, whose sum is σ = 752539753405440. Its totient is φ = 58715865169920.

The previous prime is 216941164505797. The next prime is 216941164505893. The reversal of 216941164505856 is 658505461149612.

It is a happy number.

216941164505856 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 4 + 1 + 1 + 6 + 45 + 0 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 216941164505793 and 216941164505802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4792880281 + ... + 4792925543.

It is an arithmetic number, because the mean of its divisors is an integer number (1741990169920).

Almost surely, 2^{216941164505856} 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 216941164505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376269876702720).

216941164505856 is an abundant number, since it is smaller than the sum of its proper divisors (535598588899584).

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

216941164505856 is a wasteful number, since it uses less digits than its factorization.

216941164505856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60952 (or 60935 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 216941164505856 in words is "two hundred sixteen trillion, nine hundred forty-one billion, one hundred sixty-four million, five hundred five thousand, eight hundred fifty-six".