12148148025504 has 96 divisors (see below), whose sum is σ = 35475257724480. Its totient is φ = 4044450182400.

The previous prime is 12148148025493. The next prime is 12148148025521. The reversal of 12148148025504 is 40552084184121.

12148148025504 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 8 + 14 + 80 + 2 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12148148025504.

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 15 ways as a sum of consecutive naturals, for example, 7853602 + ... + 9272289.

It is an arithmetic number, because the mean of its divisors is an integer number (369533934630).

Almost surely, 2^{12148148025504} is an apocalyptic number.

It is an amenable number.

12148148025504 is an abundant number, since it is smaller than the sum of its proper divisors (23327109698976).

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

12148148025504 is a wasteful number, since it uses less digits than its factorization.

12148148025504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17126731 (or 17126717 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 12148148025504 in words is "twelve trillion, one hundred forty-eight billion, one hundred forty-eight million, twenty-five thousand, five hundred four".