1564355550564 has 27 divisors (see below), whose sum is σ = 3954362166937. Its totient is φ = 521449348704.

The previous prime is 1564355550557. The next prime is 1564355550613. The reversal of 1564355550564 is 4650555534651.

The square root of 1564355550564 is 1250742.

It is a perfect power (a square), and thus also a powerful number.

1564355550564 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 35 + 5 + 550 + 56 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 198710892900 + 1365644657664 = 445770^2 + 1168608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1564355550564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7400224 + ... + 7608680.

Almost surely, 2^{1564355550564} is an apocalyptic number.

1564355550564 is the 1250742-nd square number.

It is an amenable number.

1564355550564 is an abundant number, since it is smaller than the sum of its proper divisors (2390006616373).

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

1564355550564 is an frugal number, since it uses more digits than its factorization.

1564355550564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416924 (or 208462 counting only the distinct ones).

The product of its (nonzero) digits is 27000000, while the sum is 54.

The spelling of 1564355550564 in words is "one trillion, five hundred sixty-four billion, three hundred fifty-five million, five hundred fifty thousand, five hundred sixty-four".