1564113456 has 120 divisors (see below), whose sum is σ = 4554760560. Its totient is φ = 513870336.

The previous prime is 1564113443. The next prime is 1564113487. The reversal of 1564113456 is 6543114651.

1564113456 is a `hidden beast` number, since 1 + 5 + 641 + 1 + 3 + 4 + 5 + 6 = 666.

1564113456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1564113456.

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, 8737975 + ... + 8738153.

It is an arithmetic number, because the mean of its divisors is an integer number (37956338).

Almost surely, 2^1564113456 is an apocalyptic number.

1564113456 is a gapful number since it is divisible by the number (16) 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 1564113456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277380280).

1564113456 is an abundant number, since it is smaller than the sum of its proper divisors (2990647104).

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

1564113456 is a wasteful number, since it uses less digits than its factorization.

1564113456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 297 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1564113456 is about 39548.8742696932. The cubic root of 1564113456 is about 1160.7964843012.

The spelling of 1564113456 in words is "one billion, five hundred sixty-four million, one hundred thirteen thousand, four hundred fifty-six".