2152652364864 has 189 divisors, whose sum is σ = 6236804241759. Its totient is φ = 709886177280.

The previous prime is 2152652364773. The next prime is 2152652364899. The reversal of 2152652364864 is 4684632562512.

The square root of 2152652364864 is 1467192.

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

2152652364864 is a `hidden beast` number, since 2 + 1 + 52 + 6 + 523 + 6 + 4 + 8 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1012438440000 + 1140213924864 = 1006200^2 + 1067808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2152652364864.

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 26 ways as a sum of consecutive naturals, for example, 3979024434 + ... + 3979024974.

Almost surely, 2^{2152652364864} is an apocalyptic number.

2152652364864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2152652364864 is the 1467192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152652364864

2152652364864 is an abundant number, since it is smaller than the sum of its proper divisors (4084151876895).

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

2152652364864 is an frugal number, since it uses more digits than its factorization.

2152652364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 659 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 2152652364864 in words is "two trillion, one hundred fifty-two billion, six hundred fifty-two million, three hundred sixty-four thousand, eight hundred sixty-four".