216890108064 has 432 divisors, whose sum is σ = 732610884096. Its totient is φ = 60673536000.

The previous prime is 216890108063. The next prime is 216890108087. The reversal of 216890108064 is 460801098612.

It is not an unprimeable number, because it can be changed into a prime (216890108063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 180590664 + ... + 180591864.

It is an arithmetic number, because the mean of its divisors is an integer number (1695858528).

Almost surely, 2^216890108064 is an apocalyptic number.

216890108064 is a gapful number since it is divisible by the number (24) 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 216890108064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366305442048).

216890108064 is an abundant number, since it is smaller than the sum of its proper divisors (515720776032).

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

216890108064 is a wasteful number, since it uses less digits than its factorization.

216890108064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 216890108064 in words is "two hundred sixteen billion, eight hundred ninety million, one hundred eight thousand, sixty-four".