216705146256 has 225 divisors, whose sum is σ = 640024694001. Its totient is φ = 70788225024.

The previous prime is 216705146233. The next prime is 216705146261. The reversal of 216705146256 is 652641507612.

The square root of 216705146256 is 465516.

It is a perfect power (a square), and thus also a powerful number.

216705146256 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 0 + 5 + 14 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52505139600 + 164200006656 = 229140^2 + 405216^2 .

It is a super-2 number, since 2×216705146256² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1122824496 + ... + 1122824688.

Almost surely, 2^216705146256 is an apocalyptic number.

216705146256 is the 465516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216705146256

216705146256 is an abundant number, since it is smaller than the sum of its proper divisors (423319547745).

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

216705146256 is an frugal number, since it uses more digits than its factorization.

216705146256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 216705146256 in words is "two hundred sixteen billion, seven hundred five million, one hundred forty-six thousand, two hundred fifty-six".