12346525540000 has 480 divisors, whose sum is σ = 31898848101120. Its totient is φ = 4696452096000.

The previous prime is 12346525539991. The next prime is 12346525540001. The reversal of 12346525540000 is 4552564321.

It is not an unprimeable number, because it can be changed into a prime (12346525540001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13919419557 + ... + 13919420443.

It is an arithmetic number, because the mean of its divisors is an integer number (66455933544).

Almost surely, 2^{12346525540000} is an apocalyptic number.

12346525540000 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 12346525540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949424050560).

12346525540000 is an abundant number, since it is smaller than the sum of its proper divisors (19552322561120).

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

12346525540000 is a wasteful number, since it uses less digits than its factorization.

12346525540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 12346525540000 in words is "twelve trillion, three hundred forty-six billion, five hundred twenty-five million, five hundred forty thousand".