1563685416 has 96 divisors (see below), whose sum is σ = 4361111040. Its totient is φ = 505782144.

The previous prime is 1563685399. The next prime is 1563685451. The reversal of 1563685416 is 6145863651.

1563685416 is a `hidden beast` number, since 1 + 5 + 636 + 8 + 5 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×1563685416² = 4890224160422186112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1616565 + ... + 1617531.

It is an arithmetic number, because the mean of its divisors is an integer number (45428240).

Almost surely, 2^1563685416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1563685416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180555520).

1563685416 is an abundant number, since it is smaller than the sum of its proper divisors (2797425624).

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

1563685416 is a wasteful number, since it uses less digits than its factorization.

1563685416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1616 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1563685416 is about 39543.4623673750. The cubic root of 1563685416 is about 1160.6905856196.

The spelling of 1563685416 in words is "one billion, five hundred sixty-three million, six hundred eighty-five thousand, four hundred sixteen".