216199296384 has 256 divisors, whose sum is σ = 631989388800. Its totient is φ = 65180712960.

The previous prime is 216199296349. The next prime is 216199296409. The reversal of 216199296384 is 483692991612.

216199296384 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127701042 + ... + 127702734.

It is an arithmetic number, because the mean of its divisors is an integer number (2468708550).

Almost surely, 2^216199296384 is an apocalyptic number.

216199296384 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 216199296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315994694400).

216199296384 is an abundant number, since it is smaller than the sum of its proper divisors (415790092416).

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

216199296384 is a wasteful number, since it uses less digits than its factorization.

216199296384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2501 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The spelling of 216199296384 in words is "two hundred sixteen billion, one hundred ninety-nine million, two hundred ninety-six thousand, three hundred eighty-four".