216290067336 has 384 divisors, whose sum is σ = 712553587200. Its totient is φ = 57956290560.

The previous prime is 216290067313. The next prime is 216290067347. The reversal of 216290067336 is 633760092612.

216290067336 is a `hidden beast` number, since 21 + 6 + 290 + 0 + 6 + 7 + 336 = 666.

It is a super-2 number, since 2×216290067336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216290067291 and 216290067300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165993261 + ... + 165994563.

It is an arithmetic number, because the mean of its divisors is an integer number (1855608300).

Almost surely, 2^216290067336 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 216290067336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356276793600).

216290067336 is an abundant number, since it is smaller than the sum of its proper divisors (496263519864).

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

216290067336 is a wasteful number, since it uses less digits than its factorization.

216290067336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 216290067336 in words is "two hundred sixteen billion, two hundred ninety million, sixty-seven thousand, three hundred thirty-six".