4165893266704 has 45 divisors (see below), whose sum is σ = 8740279075269. Its totient is φ = 1922670984000.

The previous prime is 4165893266699. The next prime is 4165893266741. The reversal of 4165893266704 is 4076623985614.

The square root of 4165893266704 is 2041052.

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

4165893266704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 616256400400 + 3549636866304 = 785020^2 + 1884048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 106115079 + ... + 106154329.

It is a 1-persistent number, because it is pandigital, but 2⋅4165893266704 = 8331786533408 is not.

Almost surely, 2^{4165893266704} is an apocalyptic number.

4165893266704 is the 2041052-nd square number.

It is an amenable number.

4165893266704 is an abundant number, since it is smaller than the sum of its proper divisors (4574385808565).

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

4165893266704 is an frugal number, since it uses more digits than its factorization.

4165893266704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78536 (or 39266 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 4165893266704 in words is "four trillion, one hundred sixty-five billion, eight hundred ninety-three million, two hundred sixty-six thousand, seven hundred four".