7218845328816 has 160 divisors (see below), whose sum is σ = 22612930179840. Its totient is φ = 2186709696000.

The previous prime is 7218845328787. The next prime is 7218845328817. The reversal of 7218845328816 is 6188235488127.

7218845328816 is a `hidden beast` number, since 7 + 2 + 1 + 8 + 8 + 4 + 532 + 88 + 16 = 666.

It is a super-2 number, since 2×7218845328816² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7218845328817) 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, 12466516 + ... + 13032716.

It is an arithmetic number, because the mean of its divisors is an integer number (141330813624).

Almost surely, 2^{7218845328816} 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 7218845328816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11306465089920).

7218845328816 is an abundant number, since it is smaller than the sum of its proper divisors (15394084851024).

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

7218845328816 is a wasteful number, since it uses less digits than its factorization.

7218845328816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568912 (or 568900 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 7218845328816 in words is "seven trillion, two hundred eighteen billion, eight hundred forty-five million, three hundred twenty-eight thousand, eight hundred sixteen".