12341258496 has 576 divisors, whose sum is σ = 43765800960. Its totient is φ = 3399542784.

The previous prime is 12341258491. The next prime is 12341258509. The reversal of 12341258496 is 69485214321.

12341258496 is a `hidden beast` number, since 1 + 2 + 34 + 125 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12341258496² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12341258491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184197855 + ... + 184197921.

Almost surely, 2^12341258496 is an apocalyptic number.

12341258496 is a gapful number since it is divisible by the number (16) 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 12341258496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21882900480).

12341258496 is an abundant number, since it is smaller than the sum of its proper divisors (31424542464).

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

12341258496 is an frugal number, since it uses more digits than its factorization.

12341258496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 12341258496 in words is "twelve billion, three hundred forty-one million, two hundred fifty-eight thousand, four hundred ninety-six".