442167811849 has 9 divisors (see below), whose sum is σ = 448357100373. Its totient is φ = 436062841632.

The previous prime is 442167811819. The next prime is 442167811903. The reversal of 442167811849 is 948118761244.

The square root of 442167811849 is 664957.

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

It can be written as a sum of positive squares in 4 ways, for example, as 59338524025 + 382829287824 = 243595^2 + 618732^2 .

It is not a de Polignac number, because 442167811849 - 2⁵ = 442167811817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442167811849.

It is not an unprimeable number, because it can be changed into a prime (442167811819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48537307 + ... + 48546415.

It is an arithmetic number, because the mean of its divisors is an integer number (49817455597).

Almost surely, 2^442167811849 is an apocalyptic number.

442167811849 is the 664957-th square number.

442167811849 is the 332479-th centered octagonal number.

It is an amenable number.

442167811849 is a deficient number, since it is larger than the sum of its proper divisors (6189288524).

442167811849 is an frugal number, since it uses more digits than its factorization.

442167811849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18364 (or 9182 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 55.

The spelling of 442167811849 in words is "four hundred forty-two billion, one hundred sixty-seven million, eight hundred eleven thousand, eight hundred forty-nine".