1383542416 has 45 divisors (see below), whose sum is σ = 2852787369. Its totient is φ = 649888512.

The previous prime is 1383542393. The next prime is 1383542441. The reversal of 1383542416 is 6142453831.

The square root of 1383542416 is 37196.

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

It can be written as a sum of positive squares in only one way, i.e., 1077152400 + 306390016 = 32820^2 + 17504^2 .

It is a super-2 number, since 2×1383542416² = 3828379233742234112, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2529055 + ... + 2529601.

Almost surely, 2^1383542416 is an apocalyptic number.

1383542416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1383542416 is the 37196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383542416

1383542416 is an abundant number, since it is smaller than the sum of its proper divisors (1469244953).

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

1383542416 is an frugal number, since it uses more digits than its factorization.

1383542416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 566 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The cubic root of 1383542416 is about 1114.2881004676.

The spelling of 1383542416 in words is "one billion, three hundred eighty-three million, five hundred forty-two thousand, four hundred sixteen".