2170365382656 has 117 divisors (see below), whose sum is σ = 6269996215249. Its totient is φ = 723360841728.

The previous prime is 2170365382649. The next prime is 2170365382699. The reversal of 2170365382656 is 6562835630712.

The square root of 2170365382656 is 1473216.

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

2170365382656 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 36 + 538 + 26 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1373959065600 + 796406317056 = 1172160^2 + 892416^2 .

It is a super-2 number, since 2×2170365382656² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 282853636 + ... + 282861308.

Almost surely, 2^{2170365382656} is an apocalyptic number.

2170365382656 is the 1473216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170365382656

2170365382656 is an abundant number, since it is smaller than the sum of its proper divisors (4099630832593).

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

2170365382656 is an frugal number, since it uses more digits than its factorization.

2170365382656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2170365382656 in words is "two trillion, one hundred seventy billion, three hundred sixty-five million, three hundred eighty-two thousand, six hundred fifty-six".