216938769408 has 264 divisors, whose sum is σ = 649808686800. Its totient is φ = 69650841600.

The previous prime is 216938769401. The next prime is 216938769419. The reversal of 216938769408 is 804967839612.

216938769408 is a `hidden beast` number, since 2 + 1 + 6 + 93 + 87 + 69 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (216938769401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34437043 + ... + 34443341.

Almost surely, 2^216938769408 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 216938769408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324904343400).

216938769408 is an abundant number, since it is smaller than the sum of its proper divisors (432869917392).

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

216938769408 is a wasteful number, since it uses less digits than its factorization.

216938769408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 216938769408 in words is "two hundred sixteen billion, nine hundred thirty-eight million, seven hundred sixty-nine thousand, four hundred eight".