12325547114496 has 768 divisors, whose sum is σ = 45827272857600. Its totient is φ = 3097991577600.

The previous prime is 12325547114479. The next prime is 12325547114497. The reversal of 12325547114496 is 69441174552321.

12325547114496 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 5 + 547 + 1 + 1 + 4 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×12325547114496² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12325547114497) 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, 703946190 + ... + 703963698.

It is an arithmetic number, because the mean of its divisors is an integer number (59670928200).

Almost surely, 2^{12325547114496} is an apocalyptic number.

12325547114496 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 12325547114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913636428800).

12325547114496 is an abundant number, since it is smaller than the sum of its proper divisors (33501725743104).

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

12325547114496 is a wasteful number, since it uses less digits than its factorization.

12325547114496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17594 (or 17563 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 12325547114496 in words is "twelve trillion, three hundred twenty-five billion, five hundred forty-seven million, one hundred fourteen thousand, four hundred ninety-six".