1065221724168 has 384 divisors, whose sum is σ = 3643975296000. Its totient is φ = 274228416000.

The previous prime is 1065221724167. The next prime is 1065221724169. The reversal of 1065221724168 is 8614271225601.

1065221724168 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 221 + 7 + 2 + 416 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1065221724167) and next prime (1065221724169).

It is a super-2 number, since 2×1065221724168² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065221724167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18577543 + ... + 18634793.

It is an arithmetic number, because the mean of its divisors is an integer number (9489519000).

Almost surely, 2^{1065221724168} is an apocalyptic number.

1065221724168 is a gapful number since it is divisible by the number (18) 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 1065221724168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821987648000).

1065221724168 is an abundant number, since it is smaller than the sum of its proper divisors (2578753571832).

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

1065221724168 is a wasteful number, since it uses less digits than its factorization.

1065221724168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57385 (or 57378 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 1065221724168 its reverse (8614271225601), we get a palindrome (9679492949769).

The spelling of 1065221724168 in words is "one trillion, sixty-five billion, two hundred twenty-one million, seven hundred twenty-four thousand, one hundred sixty-eight".