216349914996 has 288 divisors, whose sum is σ = 615764717568. Its totient is φ = 63724631040.

The previous prime is 216349914983. The next prime is 216349915009. The reversal of 216349914996 is 699419943612.

216349914996 is a `hidden beast` number, since 2 + 16 + 3 + 49 + 91 + 499 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (216349914983) and next prime (216349915009).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132973935 + ... + 132975561.

It is an arithmetic number, because the mean of its divisors is an integer number (2138071936).

Almost surely, 2^216349914996 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 216349914996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307882358784).

216349914996 is an abundant number, since it is smaller than the sum of its proper divisors (399414802572).

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

216349914996 is a wasteful number, since it uses less digits than its factorization.

216349914996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1886 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The spelling of 216349914996 in words is "two hundred sixteen billion, three hundred forty-nine million, nine hundred fourteen thousand, nine hundred ninety-six".