12148864875450 has 768 divisors, whose sum is σ = 35986176737280. Its totient is φ = 3008565504000.

The previous prime is 12148864875439. The next prime is 12148864875463. The reversal of 12148864875450 is 5457846884121.

12148864875450 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 8 + 8 + 6 + 4 + 87 + 545 + 0 = 666.

12148864875450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42928851009 + ... + 42928851291.

It is an arithmetic number, because the mean of its divisors is an integer number (46857000960).

Almost surely, 2^{12148864875450} is an apocalyptic number.

12148864875450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12148864875450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17993088368640).

12148864875450 is an abundant number, since it is smaller than the sum of its proper divisors (23837311861830).

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

12148864875450 is a wasteful number, since it uses less digits than its factorization.

12148864875450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 12148864875450 in words is "twelve trillion, one hundred forty-eight billion, eight hundred sixty-four million, eight hundred seventy-five thousand, four hundred fifty".