27833390341696 has 21 divisors (see below), whose sum is σ = 55231967711739. Its totient is φ = 13916674067904.

The previous prime is 27833390341693. The next prime is 27833390341723. The reversal of 27833390341696 is 69614309333872.

It is a happy number.

The square root of 27833390341696 is 5275736.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27833390341693) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 41876155 + ... + 42535621.

It is an arithmetic number, because the mean of its divisors is an integer number (2630093700559).

Almost surely, 2^{27833390341696} is an apocalyptic number.

27833390341696 is the 5275736-th square number.

It is an amenable number.

27833390341696 is a deficient number, since it is larger than the sum of its proper divisors (27398577370043).

27833390341696 is an frugal number, since it uses more digits than its factorization.

27833390341696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318946 (or 659469 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 64.

27833390341696 divided by its sum of digits (64) gives a square (434896724089 = 659467²).

The spelling of 27833390341696 in words is "twenty-seven trillion, eight hundred thirty-three billion, three hundred ninety million, three hundred forty-one thousand, six hundred ninety-six".