172045766656 has 39 divisors (see below), whose sum is σ = 344102624013. Its totient is φ = 86009610240.

The previous prime is 172045766639. The next prime is 172045766687. The reversal of 172045766656 is 656667540271.

It is a happy number.

The square root of 172045766656 is 414784.

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

It can be written as a sum of positive squares in only one way, i.e., 163552301056 + 8493465600 = 404416^2 + 92160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 172045766597 and 172045766606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 26542936 + ... + 26549416.

Almost surely, 2^172045766656 is an apocalyptic number.

172045766656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

172045766656 is the 414784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172045766656

172045766656 is an abundant number, since it is smaller than the sum of its proper divisors (172056857357).

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

172045766656 is an frugal number, since it uses more digits than its factorization.

172045766656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12986 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 172045766656 in words is "one hundred seventy-two billion, forty-five million, seven hundred sixty-six thousand, six hundred fifty-six".