12423834864 has 320 divisors, whose sum is σ = 42334433280. Its totient is φ = 3414804480.

The previous prime is 12423834853. The next prime is 12423834881. The reversal of 12423834864 is 46843832421.

It is a happy number.

12423834864 is a `hidden beast` number, since 1 + 242 + 3 + 8 + 348 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8669092 + ... + 8670524.

It is an arithmetic number, because the mean of its divisors is an integer number (132295104).

Almost surely, 2^12423834864 is an apocalyptic number.

12423834864 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 12423834864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21167216640).

12423834864 is an abundant number, since it is smaller than the sum of its proper divisors (29910598416).

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

12423834864 is a wasteful number, since it uses less digits than its factorization.

12423834864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1553 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 12423834864 in words is "twelve billion, four hundred twenty-three million, eight hundred thirty-four thousand, eight hundred sixty-four".