216411098112 has 330 divisors, whose sum is σ = 710369288244. Its totient is φ = 65576079360.

The previous prime is 216411098027. The next prime is 216411098161. The reversal of 216411098112 is 211890114612.

216411098112 is a `hidden beast` number, since 2 + 1 + 641 + 1 + 0 + 9 + 8 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10025443 + ... + 10047005.

Almost surely, 2^216411098112 is an apocalyptic number.

216411098112 is a gapful number since it is divisible by the number (22) 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 216411098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355184644122).

216411098112 is an abundant number, since it is smaller than the sum of its proper divisors (493958190132).

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

216411098112 is a wasteful number, since it uses less digits than its factorization.

216411098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21617 (or 21579 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 216411098112 in words is "two hundred sixteen billion, four hundred eleven million, ninety-eight thousand, one hundred twelve".