12523450963968 has 480 divisors, whose sum is σ = 42777661006080. Its totient is φ = 3575848550400.

The previous prime is 12523450963883. The next prime is 12523450963973. The reversal of 12523450963968 is 86936905432521.

It is a happy number.

12523450963968 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 3 + 4 + 509 + 63 + 9 + 68 = 666.

It is a super-2 number, since 2×12523450963968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2813624143 + ... + 2813628593.

It is an arithmetic number, because the mean of its divisors is an integer number (89120127096).

Almost surely, 2^{12523450963968} is an apocalyptic number.

12523450963968 is a gapful number since it is divisible by the number (18) 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 12523450963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21388830503040).

12523450963968 is an abundant number, since it is smaller than the sum of its proper divisors (30254210042112).

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

12523450963968 is an equidigital number, since it uses as much as digits as its factorization.

12523450963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6915 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 12523450963968 in words is "twelve trillion, five hundred twenty-three billion, four hundred fifty million, nine hundred sixty-three thousand, nine hundred sixty-eight".