216454680288 has 576 divisors, whose sum is σ = 803761201152. Its totient is φ = 53578736640.

The previous prime is 216454680217. The next prime is 216454680289. The reversal of 216454680288 is 882086454612.

216454680288 is a `hidden beast` number, since 2 + 16 + 4 + 546 + 8 + 0 + 2 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216454680289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176986045 + ... + 176987267.

It is an arithmetic number, because the mean of its divisors is an integer number (1395418752).

Almost surely, 2^216454680288 is an apocalyptic number.

216454680288 is a gapful number since it is divisible by the number (28) 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 216454680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401880600576).

216454680288 is an abundant number, since it is smaller than the sum of its proper divisors (587306520864).

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

216454680288 is a wasteful number, since it uses less digits than its factorization.

216454680288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 216454680288 in words is "two hundred sixteen billion, four hundred fifty-four million, six hundred eighty thousand, two hundred eighty-eight".