165444986701764 has 405 divisors, whose sum is σ = 535343940641055. Its totient is φ = 42955745263200.

The previous prime is 165444986701723. The next prime is 165444986701781. The reversal of 165444986701764 is 467107689444561.

The square root of 165444986701764 is 12862542.

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

165444986701764 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 4 + 498 + 6 + 70 + 1 + 7 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165444986701692 and 165444986701701.

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 134 ways as a sum of consecutive naturals, for example, 65367437179 + ... + 65367439709.

Almost surely, 2^{165444986701764} is an apocalyptic number.

165444986701764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

165444986701764 is the 12862542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165444986701764

165444986701764 is an abundant number, since it is smaller than the sum of its proper divisors (369898953939291).

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

165444986701764 is an frugal number, since it uses more digits than its factorization.

165444986701764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 165444986701764 in words is "one hundred sixty-five trillion, four hundred forty-four billion, nine hundred eighty-six million, seven hundred one thousand, seven hundred sixty-four".