1605226230664 has 128 divisors (see below), whose sum is σ = 3654782208000. Its totient is φ = 645237052416.

The previous prime is 1605226230661. The next prime is 1605226230739. The reversal of 1605226230664 is 4660326225061.

It is a super-2 number, since 2×1605226230664² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1605226230664.

It is not an unprimeable number, because it can be changed into a prime (1605226230661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521345077 + ... + 521348155.

It is an arithmetic number, because the mean of its divisors is an integer number (28552986000).

Almost surely, 2^{1605226230664} is an apocalyptic number.

1605226230664 is a gapful number since it is divisible by the number (14) 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 1605226230664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827391104000).

1605226230664 is an abundant number, since it is smaller than the sum of its proper divisors (2049555977336).

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

1605226230664 is a wasteful number, since it uses less digits than its factorization.

1605226230664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 1605226230664 in words is "one trillion, six hundred five billion, two hundred twenty-six million, two hundred thirty thousand, six hundred sixty-four".