1564353648 has 400 divisors, whose sum is σ = 5565643776. Its totient is φ = 417415680.

The previous prime is 1564353643. The next prime is 1564353653. The reversal of 1564353648 is 8463534651.

1564353648 is a `hidden beast` number, since 15 + 64 + 3 + 536 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1564353643) and next prime (1564353653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564353643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4262361 + ... + 4262727.

Almost surely, 2^1564353648 is an apocalyptic number.

1564353648 is a gapful number since it is divisible by the number (18) 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 1564353648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782821888).

1564353648 is an abundant number, since it is smaller than the sum of its proper divisors (4001290128).

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

1564353648 is a wasteful number, since it uses less digits than its factorization.

1564353648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 1564353648 is about 39551.9108008703. The cubic root of 1564353648 is about 1160.8559002294.

It can be divided in two parts, 1564353 and 648, that added together give a square (1565001 = 1251²).

The spelling of 1564353648 in words is "one billion, five hundred sixty-four million, three hundred fifty-three thousand, six hundred forty-eight".