1564145856 has 560 divisors, whose sum is σ = 5976213600. Its totient is φ = 398297088.

The previous prime is 1564145839. The next prime is 1564145857. The reversal of 1564145856 is 6585414651.

1564145856 is a `hidden beast` number, since 1 + 5 + 64 + 1 + 4 + 585 + 6 = 666.

It is a super-3 number, since 3×1564145856³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564145857) 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, 53936050 + ... + 53936078.

It is an arithmetic number, because the mean of its divisors is an integer number (10671810).

Almost surely, 2^1564145856 is an apocalyptic number.

1564145856 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 1564145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988106800).

1564145856 is an abundant number, since it is smaller than the sum of its proper divisors (4412067744).

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

1564145856 is an equidigital number, since it uses as much as digits as its factorization.

1564145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 1564145856 is about 39549.2838873222. The cubic root of 1564145856 is about 1160.8044993946.

It can be divided in two parts, 1564145 and 856, that added together give a square (1565001 = 1251²).

The spelling of 1564145856 in words is "one billion, five hundred sixty-four million, one hundred forty-five thousand, eight hundred fifty-six".