216352254701856 has 288 divisors, whose sum is σ = 702863644049280. Its totient is φ = 57056780132352.

The previous prime is 216352254701833. The next prime is 216352254701857. The reversal of 216352254701856 is 658107452253612.

It is a super-2 number, since 2×216352254701856² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216352254701796 and 216352254701805.

It is not an unprimeable number, because it can be changed into a prime (216352254701857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2633487276 + ... + 2633569428.

It is an arithmetic number, because the mean of its divisors is an integer number (2440498764060).

Almost surely, 2^{216352254701856} is an apocalyptic number.

216352254701856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216352254701856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351431822024640).

216352254701856 is an abundant number, since it is smaller than the sum of its proper divisors (486511389347424).

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

216352254701856 is a wasteful number, since it uses less digits than its factorization.

216352254701856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105388 (or 105367 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 216352254701856 in words is "two hundred sixteen trillion, three hundred fifty-two billion, two hundred fifty-four million, seven hundred one thousand, eight hundred fifty-six".