12425459178048 has 336 divisors, whose sum is σ = 39489686880768. Its totient is φ = 3434489856000.

The previous prime is 12425459178037. The next prime is 12425459178127. The reversal of 12425459178048 is 84087195452421.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×12425459178048³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12425459177982 and 12425459178000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1330201858 + ... + 1330211198.

Almost surely, 2^{12425459178048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12425459178048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19744843440384).

12425459178048 is an abundant number, since it is smaller than the sum of its proper divisors (27064227702720).

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

12425459178048 is a wasteful number, since it uses less digits than its factorization.

12425459178048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13962 (or 13945 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 12425459178048 in words is "twelve trillion, four hundred twenty-five billion, four hundred fifty-nine million, one hundred seventy-eight thousand, forty-eight".