216795945540144 has 160 divisors (see below), whose sum is σ = 607783833720000. Its totient is φ = 66320601088000.

The previous prime is 216795945540101. The next prime is 216795945540149. The reversal of 216795945540144 is 441045549597612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (216795945540149) 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, 61895482 + ... + 65304230.

It is an arithmetic number, because the mean of its divisors is an integer number (3798648960750).

Almost surely, 2^{216795945540144} is an apocalyptic number.

216795945540144 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 216795945540144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303891916860000).

216795945540144 is an abundant number, since it is smaller than the sum of its proper divisors (390987888179856).

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

216795945540144 is a wasteful number, since it uses less digits than its factorization.

216795945540144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410719 (or 3410713 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 66.

The spelling of 216795945540144 in words is "two hundred sixteen trillion, seven hundred ninety-five billion, nine hundred forty-five million, five hundred forty thousand, one hundred forty-four".