1565816448 has 512 divisors, whose sum is σ = 5514854400. Its totient is φ = 383201280.

The previous prime is 1565816443. The next prime is 1565816449. The reversal of 1565816448 is 8446185651.

It is a super-2 number, since 2×1565816448² = 4903562297654673408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (921600) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1565816397 and 1565816406.

It is not an unprimeable number, because it can be changed into a prime (1565816443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36414315 + ... + 36414357.

It is an arithmetic number, because the mean of its divisors is an integer number (10771200).

Almost surely, 2^1565816448 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 1565816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757427200).

1565816448 is an abundant number, since it is smaller than the sum of its proper divisors (3949037952).

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

1565816448 is a wasteful number, since it uses less digits than its factorization.

1565816448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The square root of 1565816448 is about 39570.3986333219. The cubic root of 1565816448 is about 1161.2176195887.

The spelling of 1565816448 in words is "one billion, five hundred sixty-five million, eight hundred sixteen thousand, four hundred forty-eight".