12463165440 has 520 divisors, whose sum is σ = 48810234528. Its totient is φ = 3016949760.

The previous prime is 12463165417. The next prime is 12463165441. The reversal of 12463165440 is 4456136421.

12463165440 is a `hidden beast` number, since 12 + 4 + 631 + 6 + 5 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12463165395 and 12463165404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12463165441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18247339 + ... + 18248021.

Almost surely, 2^12463165440 is an apocalyptic number.

12463165440 is a gapful number since it is divisible by the number (10) 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 12463165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24405117264).

12463165440 is an abundant number, since it is smaller than the sum of its proper divisors (36347069088).

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

12463165440 is an equidigital number, since it uses as much as digits as its factorization.

12463165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12463165440 in words is "twelve billion, four hundred sixty-three million, one hundred sixty-five thousand, four hundred forty".