1564308109056 has 144 divisors (see below), whose sum is σ = 5190658921728. Its totient is φ = 406313779200.

The previous prime is 1564308108959. The next prime is 1564308109099. The reversal of 1564308109056 is 6509018034651.

It is a super-2 number, since 2×1564308109056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1564308108996 and 1564308109014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13167225 + ... + 13285496.

It is an arithmetic number, because the mean of its divisors is an integer number (36046242512).

Almost surely, 2^{1564308109056} is an apocalyptic number.

1564308109056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1564308109056 is an abundant number, since it is smaller than the sum of its proper divisors (3626350812672).

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

1564308109056 is a wasteful number, since it uses less digits than its factorization.

1564308109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26452758 (or 26452744 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 1564308109056 in words is "one trillion, five hundred sixty-four billion, three hundred eight million, one hundred nine thousand, fifty-six".