12280356248864 has 144 divisors (see below), whose sum is σ = 28023421226976. Its totient is φ = 5252533248000.

The previous prime is 12280356248863. The next prime is 12280356248893. The reversal of 12280356248864 is 46884265308221.

It is a super-4 number, since 4×12280356248864⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12280356248863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656237972 + ... + 656256684.

It is an arithmetic number, because the mean of its divisors is an integer number (194607091854).

Almost surely, 2^{12280356248864} 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 12280356248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14011710613488).

12280356248864 is an abundant number, since it is smaller than the sum of its proper divisors (15743064978112).

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

12280356248864 is a wasteful number, since it uses less digits than its factorization.

12280356248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25219 (or 25194 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 59.

The spelling of 12280356248864 in words is "twelve trillion, two hundred eighty billion, three hundred fifty-six million, two hundred forty-eight thousand, eight hundred sixty-four".