1564938144 has 240 divisors, whose sum is σ = 5738838336. Its totient is φ = 406425600.

The previous prime is 1564938113. The next prime is 1564938149. The reversal of 1564938144 is 4418394651.

1564938144 is a `hidden beast` number, since 1 + 564 + 9 + 3 + 81 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1564938144.

It is not an unprimeable number, because it can be changed into a prime (1564938149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 195664 + ... + 203504.

Almost surely, 2^1564938144 is an apocalyptic number.

1564938144 is a gapful number since it is divisible by the number (14) 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 1564938144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869419168).

1564938144 is an abundant number, since it is smaller than the sum of its proper divisors (4173900192).

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

1564938144 is a wasteful number, since it uses less digits than its factorization.

1564938144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7881 (or 7864 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1564938144 is about 39559.2990837805. The cubic root of 1564938144 is about 1161.0004607093. Note that the first 3 decimals are identical.

The spelling of 1564938144 in words is "one billion, five hundred sixty-four million, nine hundred thirty-eight thousand, one hundred forty-four".