216261581184 has 320 divisors, whose sum is σ = 704074567680. Its totient is φ = 65349504000.

The previous prime is 216261581183. The next prime is 216261581197. The reversal of 216261581184 is 481185162612.

216261581184 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 61 + 581 + 1 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216261581183) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43677909 + ... + 43682859.

It is an arithmetic number, because the mean of its divisors is an integer number (2200233024).

Almost surely, 2^216261581184 is an apocalyptic number.

216261581184 is a gapful number since it is divisible by the number (24) 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 216261581184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352037283840).

216261581184 is an abundant number, since it is smaller than the sum of its proper divisors (487812986496).

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

216261581184 is a wasteful number, since it uses less digits than its factorization.

216261581184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5371 (or 5350 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 216261581184 in words is "two hundred sixteen billion, two hundred sixty-one million, five hundred eighty-one thousand, one hundred eighty-four".