1332074016 has 432 divisors, whose sum is σ = 4870344024. Its totient is φ = 342171648.

The previous prime is 1332074011. The next prime is 1332074033. The reversal of 1332074016 is 6104702331.

It can be written as a sum of positive squares in 4 ways, for example, as 1100912400 + 231161616 = 33180^2 + 15204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332074011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9723100 + ... + 9723236.

Almost surely, 2^1332074016 is an apocalyptic number.

1332074016 is a gapful number since it is divisible by the number (16) 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 1332074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435172012).

1332074016 is an abundant number, since it is smaller than the sum of its proper divisors (3538270008).

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

1332074016 is a wasteful number, since it uses less digits than its factorization.

1332074016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1332074016 is about 36497.5891806569. The cubic root of 1332074016 is about 1100.2957926298.

Adding to 1332074016 its reverse (6104702331), we get a palindrome (7436776347).

The spelling of 1332074016 in words is "one billion, three hundred thirty-two million, seventy-four thousand, sixteen".