844228354761 has 45 divisors (see below), whose sum is σ = 1386351488599. Its totient is φ = 511598419200.

The previous prime is 844228354747. The next prime is 844228354793. The reversal of 844228354761 is 167453822448.

The square root of 844228354761 is 918819.

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

844228354761 is a `hidden beast` number, since 8 + 4 + 4 + 228 + 354 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 753651433161 + 90576921600 = 868131^2 + 300960^2 .

It is not a de Polignac number, because 844228354761 - 2²⁵ = 844194800329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 844228354698 and 844228354707.

It is not an unprimeable number, because it can be changed into a prime (844228354741) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90958441 + ... + 90967721.

Almost surely, 2^844228354761 is an apocalyptic number.

844228354761 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

844228354761 is the 918819-th square number.

844228354761 is the 459410-th centered octagonal number.

It is an amenable number.

844228354761 is a deficient number, since it is larger than the sum of its proper divisors (542123133838).

844228354761 is an frugal number, since it uses more digits than its factorization.

844228354761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18596 (or 9295 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 844228354761 in words is "eight hundred forty-four billion, two hundred twenty-eight million, three hundred fifty-four thousand, seven hundred sixty-one".