12354231456 has 240 divisors, whose sum is σ = 41664268800. Its totient is φ = 3517862400.

The previous prime is 12354231377. The next prime is 12354231473. The reversal of 12354231456 is 65413245321.

12354231456 is a `hidden beast` number, since 123 + 54 + 2 + 31 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12354231456.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6331281 + ... + 6333231.

It is an arithmetic number, because the mean of its divisors is an integer number (173601120).

Almost surely, 2^12354231456 is an apocalyptic number.

12354231456 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 12354231456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832134400).

12354231456 is an abundant number, since it is smaller than the sum of its proper divisors (29310037344).

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

12354231456 is a wasteful number, since it uses less digits than its factorization.

12354231456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2312 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 12354231456 its reverse (65413245321), we get a palindrome (77767476777).

The spelling of 12354231456 in words is "twelve billion, three hundred fifty-four million, two hundred thirty-one thousand, four hundred fifty-six".