1332542016 has 245 divisors, whose sum is σ = 4294951151. Its totient is φ = 410012928.

The previous prime is 1332541999. The next prime is 1332542023. The reversal of 1332542016 is 6102452331.

The square root of 1332542016 is 36504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 660695616 + 671846400 = 25704^2 + 25920^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 102503226 + ... + 102503238.

Almost surely, 2^1332542016 is an apocalyptic number.

1332542016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1332542016 is the 36504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332542016

1332542016 is an abundant number, since it is smaller than the sum of its proper divisors (2962409135).

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

1332542016 is an frugal number, since it uses more digits than its factorization.

1332542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 1332542016 is about 1100.4246338533.

Adding to 1332542016 its reverse (6102452331), we get a palindrome (7434994347).

The spelling of 1332542016 in words is "one billion, three hundred thirty-two million, five hundred forty-two thousand, sixteen".