339722282448 has 120 divisors (see below), whose sum is σ = 974517767496. Its totient is φ = 110413209600.

The previous prime is 339722282423. The next prime is 339722282533. The reversal of 339722282448 is 844282227933.

339722282448 is a `hidden beast` number, since 3 + 39 + 72 + 22 + 82 + 448 = 666.

It is a Cunningham number, because it is equal to 582857²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 10030423104 + 329691859344 = 100152^2 + 574188^2 .

It is a super-2 number, since 2×339722282448² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 339722282394 and 339722282403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10475218 + ... + 10507598.

Almost surely, 2^339722282448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339722282448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487258883748).

339722282448 is an abundant number, since it is smaller than the sum of its proper divisors (634795485048).

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

339722282448 is a wasteful number, since it uses less digits than its factorization.

339722282448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34213 (or 34204 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

It can be divided in two parts, 339722 and 282448, that added together give a triangular number (622170 = T₁₁₁₅).

The spelling of 339722282448 in words is "three hundred thirty-nine billion, seven hundred twenty-two million, two hundred eighty-two thousand, four hundred forty-eight".