216333637416400 has 240 divisors, whose sum is σ = 605122403243008. Its totient is φ = 72787092480000.

The previous prime is 216333637416383. The next prime is 216333637416451. The reversal of 216333637416400 is 4614736333612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72493825 + ... + 75418975.

Almost surely, 2^{216333637416400} is an apocalyptic number.

216333637416400 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 216333637416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302561201621504).

216333637416400 is an abundant number, since it is smaller than the sum of its proper divisors (388788765826608).

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

216333637416400 is a wasteful number, since it uses less digits than its factorization.

216333637416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925670 (or 2925659 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 49.

The spelling of 216333637416400 in words is "two hundred sixteen trillion, three hundred thirty-three billion, six hundred thirty-seven million, four hundred sixteen thousand, four hundred".