14768414204148 has 144 divisors (see below), whose sum is σ = 42137283988800. Its totient is φ = 4320141557760.

The previous prime is 14768414204123. The next prime is 14768414204153. The reversal of 14768414204148 is 84140241486741.

14768414204148 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 8 + 414 + 204 + 14 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14768414204094 and 14768414204103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62113140 + ... + 62350452.

It is an arithmetic number, because the mean of its divisors is an integer number (292620027700).

Almost surely, 2^{14768414204148} is an apocalyptic number.

14768414204148 is a gapful number since it is divisible by the number (18) 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 14768414204148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21068641994400).

14768414204148 is an abundant number, since it is smaller than the sum of its proper divisors (27368869784652).

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

14768414204148 is a wasteful number, since it uses less digits than its factorization.

14768414204148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242782 (or 242777 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 14768414204148 in words is "fourteen trillion, seven hundred sixty-eight billion, four hundred fourteen million, two hundred four thousand, one hundred forty-eight".