12263228964 has 144 divisors (see below), whose sum is σ = 37022469120. Its totient is φ = 3346453440.

The previous prime is 12263228963. The next prime is 12263228981. The reversal of 12263228964 is 46982236221.

12263228964 is a `hidden beast` number, since 1 + 2 + 2 + 632 + 2 + 8 + 9 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (12263228963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5626827 + ... + 5629005.

It is an arithmetic number, because the mean of its divisors is an integer number (257100480).

Almost surely, 2^12263228964 is an apocalyptic number.

12263228964 is a gapful number since it is divisible by the number (14) 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 12263228964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511234560).

12263228964 is an abundant number, since it is smaller than the sum of its proper divisors (24759240156).

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

12263228964 is a wasteful number, since it uses less digits than its factorization.

12263228964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3185 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 12263228964 in words is "twelve billion, two hundred sixty-three million, two hundred twenty-eight thousand, nine hundred sixty-four".