1363584416 has 48 divisors (see below), whose sum is σ = 2848862016. Its totient is φ = 640244736.

The previous prime is 1363584389. The next prime is 1363584451. The reversal of 1363584416 is 6144853631.

It is a super-2 number, since 2×1363584416² = 3718724919116122112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262355 + ... + 267501.

It is an arithmetic number, because the mean of its divisors is an integer number (59351292).

Almost surely, 2^1363584416 is an apocalyptic number.

1363584416 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 1363584416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424431008).

1363584416 is an abundant number, since it is smaller than the sum of its proper divisors (1485277600).

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

1363584416 is a wasteful number, since it uses less digits than its factorization.

1363584416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5653 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 1363584416 is about 36926.7439127795. The cubic root of 1363584416 is about 1108.9041523628.

The spelling of 1363584416 in words is "one billion, three hundred sixty-three million, five hundred eighty-four thousand, four hundred sixteen".