12351411456 has 144 divisors (see below), whose sum is σ = 33510153600. Its totient is φ = 4038098944.

The previous prime is 12351411451. The next prime is 12351411467. The reversal of 12351411456 is 65411415321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12351411451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9363565 + ... + 9364883.

It is an arithmetic number, because the mean of its divisors is an integer number (232709400).

Almost surely, 2^12351411456 is an apocalyptic number.

12351411456 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 12351411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755076800).

12351411456 is an abundant number, since it is smaller than the sum of its proper divisors (21158742144).

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

12351411456 is a wasteful number, since it uses less digits than its factorization.

12351411456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1550 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

Adding to 12351411456 its reverse (65411415321), we get a palindrome (77762826777).

The spelling of 12351411456 in words is "twelve billion, three hundred fifty-one million, four hundred eleven thousand, four hundred fifty-six".