2232218160864 has 144 divisors (see below), whose sum is σ = 6420045471840. Its totient is φ = 735642362880.

The previous prime is 2232218160827. The next prime is 2232218160869. The reversal of 2232218160864 is 4680618122322.

2232218160864 is a `hidden beast` number, since 2 + 2 + 3 + 22 + 18 + 1 + 608 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×2232218160864³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232218160869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14394589 + ... + 14548835.

It is an arithmetic number, because the mean of its divisors is an integer number (44583649110).

Almost surely, 2^{2232218160864} is an apocalyptic number.

2232218160864 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 2232218160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210022735920).

2232218160864 is an abundant number, since it is smaller than the sum of its proper divisors (4187827310976).

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

2232218160864 is a wasteful number, since it uses less digits than its factorization.

2232218160864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154833 (or 154822 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2232218160864 in words is "two trillion, two hundred thirty-two billion, two hundred eighteen million, one hundred sixty thousand, eight hundred sixty-four".