12445923456 has 192 divisors, whose sum is σ = 37491854400. Its totient is φ = 4109460480.

The previous prime is 12445923449. The next prime is 12445923467. The reversal of 12445923456 is 65432954421.

12445923456 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 592 + 3 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×12445923456² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3388501 + ... + 3392171.

It is an arithmetic number, because the mean of its divisors is an integer number (195270075).

Almost surely, 2^12445923456 is an apocalyptic number.

12445923456 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 12445923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745927200).

12445923456 is an abundant number, since it is smaller than the sum of its proper divisors (25045930944).

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

12445923456 is an equidigital number, since it uses as much as digits as its factorization.

12445923456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3785 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 12445923456 in words is "twelve billion, four hundred forty-five million, nine hundred twenty-three thousand, four hundred fifty-six".