442765144836 has 135 divisors (see below), whose sum is σ = 1346706157797. Its totient is φ = 126480372480.

The previous prime is 442765144813. The next prime is 442765144849. The reversal of 442765144836 is 638441567244.

The square root of 442765144836 is 665406.

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

442765144836 is a `hidden beast` number, since 4 + 42 + 7 + 6 + 514 + 4 + 83 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58464338436 + 384300806400 = 241794^2 + 619920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83838516 + ... + 83843796.

Almost surely, 2^442765144836 is an apocalyptic number.

442765144836 is the 665406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442765144836

442765144836 is an abundant number, since it is smaller than the sum of its proper divisors (903941012961).

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

442765144836 is an frugal number, since it uses more digits than its factorization.

442765144836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592 (or 5293 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 442765144836 in words is "four hundred forty-two billion, seven hundred sixty-five million, one hundred forty-four thousand, eight hundred thirty-six".