216484484480 has 256 divisors, whose sum is σ = 602541711360. Its totient is φ = 73502392320.

The previous prime is 216484484479. The next prime is 216484484501. The reversal of 216484484480 is 84484484612.

It is a happy number.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15192239 + ... + 15206481.

It is an arithmetic number, because the mean of its divisors is an integer number (2353678560).

Almost surely, 2^216484484480 is an apocalyptic number.

216484484480 is a gapful number since it is divisible by the number (20) 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 216484484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301270855680).

216484484480 is an abundant number, since it is smaller than the sum of its proper divisors (386057226880).

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

216484484480 is a wasteful number, since it uses less digits than its factorization.

216484484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14417 (or 14405 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 53.

The spelling of 216484484480 in words is "two hundred sixteen billion, four hundred eighty-four million, four hundred eighty-four thousand, four hundred eighty".