12263187456 has 528 divisors, whose sum is σ = 42059856384. Its totient is φ = 3535405056.

The previous prime is 12263187451. The next prime is 12263187487. The reversal of 12263187456 is 65478136221.

12263187456 is a `hidden beast` number, since 1 + 2 + 2 + 631 + 8 + 7 + 4 + 5 + 6 = 666.

It is a super-3 number, since 3×12263187456³ (a number of 31 digits) contains 333 as substring.

Its product of digits (483840) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (12263187451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54991761 + ... + 54991983.

Almost surely, 2^12263187456 is an apocalyptic number.

12263187456 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 12263187456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21029928192).

12263187456 is an abundant number, since it is smaller than the sum of its proper divisors (29796668928).

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

12263187456 is a wasteful number, since it uses less digits than its factorization.

12263187456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 258 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12263187456 in words is "twelve billion, two hundred sixty-three million, one hundred eighty-seven thousand, four hundred fifty-six".