216440299824096 has 768 divisors, whose sum is σ = 647533522944000. Its totient is φ = 62977365319680.

The previous prime is 216440299824053. The next prime is 216440299824101. The reversal of 216440299824096 is 690428992044612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96495897151 + ... + 96495899393.

It is an arithmetic number, because the mean of its divisors is an integer number (843142608000).

Almost surely, 2^{216440299824096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216440299824096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323766761472000).

216440299824096 is an abundant number, since it is smaller than the sum of its proper divisors (431093223119904).

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

216440299824096 is a wasteful number, since it uses less digits than its factorization.

216440299824096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 216440299824096 in words is "two hundred sixteen trillion, four hundred forty billion, two hundred ninety-nine million, eight hundred twenty-four thousand, ninety-six".