12148413506460 has 1152 divisors, whose sum is σ = 49335515873280. Its totient is φ = 2435275238400.

The previous prime is 12148413506441. The next prime is 12148413506461. The reversal of 12148413506460 is 6460531484121.

12148413506460 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 84 + 1 + 3 + 506 + 4 + 60 = 666.

12148413506460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12148413506461) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4164692922 + ... + 4164695838.

It is an arithmetic number, because the mean of its divisors is an integer number (42825968640).

Almost surely, 2^{12148413506460} is an apocalyptic number.

12148413506460 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 12148413506460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24667757936640).

12148413506460 is an abundant number, since it is smaller than the sum of its proper divisors (37187102366820).

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

12148413506460 is a wasteful number, since it uses less digits than its factorization.

12148413506460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12148413506460 in words is "twelve trillion, one hundred forty-eight billion, four hundred thirteen million, five hundred six thousand, four hundred sixty".