1564444544 has 128 divisors (see below), whose sum is σ = 3591362880. Its totient is φ = 673136640.

The previous prime is 1564444537. The next prime is 1564444549. The reversal of 1564444544 is 4454444651.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564444549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568654 + ... + 1569650.

Almost surely, 2^1564444544 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 1564444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795681440).

1564444544 is an abundant number, since it is smaller than the sum of its proper divisors (2026918336).

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

1564444544 is a wasteful number, since it uses less digits than its factorization.

1564444544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1076 counting only the distinct ones).

The product of its digits is 614400, while the sum is 41.

The square root of 1564444544 is about 39553.0598563499. The cubic root of 1564444544 is about 1160.8783834478.

The spelling of 1564444544 in words is "one billion, five hundred sixty-four million, four hundred forty-four thousand, five hundred forty-four".