216654309819136 has 144 divisors (see below), whose sum is σ = 517289588540928. Its totient is φ = 88546481971200.

The previous prime is 216654309819107. The next prime is 216654309819169. The reversal of 216654309819136 is 631918903456612.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 15 ways as a sum of consecutive naturals, for example, 5702076 + ... + 21582916.

It is an arithmetic number, because the mean of its divisors is an integer number (3592288809312).

Almost surely, 2^{216654309819136} 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 216654309819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258644794270464).

216654309819136 is an abundant number, since it is smaller than the sum of its proper divisors (300635278721792).

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

216654309819136 is a wasteful number, since it uses less digits than its factorization.

216654309819136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15881218 (or 15881204 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 64.

The spelling of 216654309819136 in words is "two hundred sixteen trillion, six hundred fifty-four billion, three hundred nine million, eight hundred nineteen thousand, one hundred thirty-six".