12831770448 has 120 divisors (see below), whose sum is σ = 41112422208. Its totient is φ = 3659867136.

The previous prime is 12831770443. The next prime is 12831770461. The reversal of 12831770448 is 84407713821.

12831770448 is a `hidden beast` number, since 128 + 3 + 17 + 70 + 448 = 666.

It is a super-2 number, since 2×12831770448² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12831770443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587011 + ... + 608477.

Almost surely, 2^12831770448 is an apocalyptic number.

12831770448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12831770448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556211104).

12831770448 is an abundant number, since it is smaller than the sum of its proper divisors (28280651760).

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

12831770448 is a wasteful number, since it uses less digits than its factorization.

12831770448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22081 (or 22072 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

It can be divided in two parts, 128317 and 70448, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 12831770448 in words is "twelve billion, eight hundred thirty-one million, seven hundred seventy thousand, four hundred forty-eight".