14680148066748 has 36 divisors (see below), whose sum is σ = 37330356576240. Its totient is φ = 4864080994176.

The previous prime is 14680148066719. The next prime is 14680148066777. The reversal of 14680148066748 is 84766084108641.

14680148066748 is a `hidden beast` number, since 1 + 4 + 6 + 80 + 1 + 480 + 6 + 6 + 74 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14680148066719) and next prime (14680148066777).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1220897853 + ... + 1220909876.

It is an arithmetic number, because the mean of its divisors is an integer number (1036954349340).

Almost surely, 2^{14680148066748} is an apocalyptic number.

14680148066748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14680148066748 is an abundant number, since it is smaller than the sum of its proper divisors (22650208509492).

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

14680148066748 is a wasteful number, since it uses less digits than its factorization.

14680148066748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441807906 (or 2441807901 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 14680148066748 in words is "fourteen trillion, six hundred eighty billion, one hundred forty-eight million, sixty-six thousand, seven hundred forty-eight".