12301485456 has 160 divisors (see below), whose sum is σ = 34934764032. Its totient is φ = 3706951680.

The previous prime is 12301485397. The next prime is 12301485509. The reversal of 12301485456 is 65458410321.

12301485456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11152201 + ... + 11153303.

Almost surely, 2^12301485456 is an apocalyptic number.

12301485456 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 12301485456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467382016).

12301485456 is an abundant number, since it is smaller than the sum of its proper divisors (22633278576).

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

12301485456 is a wasteful number, since it uses less digits than its factorization.

12301485456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

Adding to 12301485456 its reverse (65458410321), we get a palindrome (77759895777).

The spelling of 12301485456 in words is "twelve billion, three hundred one million, four hundred eighty-five thousand, four hundred fifty-six".