216382133745792 has 1792 divisors, whose sum is σ = 794354339116800. Its totient is φ = 57281014923264.

The previous prime is 216382133745787. The next prime is 216382133745803. The reversal of 216382133745792 is 297547331283612.

216382133745792 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 8 + 21 + 3 + 37 + 4 + 579 + 2 = 666.

It is a super-3 number, since 3×216382133745792³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 368623736923 + ... + 368623737509.

It is an arithmetic number, because the mean of its divisors is an integer number (443278091025).

Almost surely, 2^{216382133745792} 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 216382133745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397177169558400).

216382133745792 is an abundant number, since it is smaller than the sum of its proper divisors (577972205371008).

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

216382133745792 is an equidigital number, since it uses as much as digits as its factorization.

216382133745792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1078 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 216382133745792 in words is "two hundred sixteen trillion, three hundred eighty-two billion, one hundred thirty-three million, seven hundred forty-five thousand, seven hundred ninety-two".