216462346070200 has 384 divisors, whose sum is σ = 550243416988800. Its totient is φ = 78891095162880.

The previous prime is 216462346070197. The next prime is 216462346070209. The reversal of 216462346070200 is 2070643264612.

216462346070200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216462346070209) 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, 3026266837 + ... + 3026338363.

It is an arithmetic number, because the mean of its divisors is an integer number (1432925565075).

Almost surely, 2^{216462346070200} is an apocalyptic number.

216462346070200 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 216462346070200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275121708494400).

216462346070200 is an abundant number, since it is smaller than the sum of its proper divisors (333781070918600).

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

216462346070200 is a wasteful number, since it uses less digits than its factorization.

216462346070200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71859 (or 71850 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 216462346070200 in words is "two hundred sixteen trillion, four hundred sixty-two billion, three hundred forty-six million, seventy thousand, two hundred".