216130287744 has 256 divisors, whose sum is σ = 741371904000. Its totient is φ = 60704474112.

The previous prime is 216130287697. The next prime is 216130287749. The reversal of 216130287744 is 447782031612.

216130287744 is a `hidden beast` number, since 2 + 1 + 613 + 0 + 28 + 7 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 216130287744.

It is not an unprimeable number, because it can be changed into a prime (216130287749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351617 + ... + 1503039.

It is an arithmetic number, because the mean of its divisors is an integer number (2895984000).

Almost surely, 2^216130287744 is an apocalyptic number.

216130287744 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 216130287744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370685952000).

216130287744 is an abundant number, since it is smaller than the sum of its proper divisors (525241616256).

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

216130287744 is a wasteful number, since it uses less digits than its factorization.

216130287744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151512 (or 151494 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 216130287744 in words is "two hundred sixteen billion, one hundred thirty million, two hundred eighty-seven thousand, seven hundred forty-four".