14820110545968 has 800 divisors, whose sum is σ = 55608040857600. Its totient is φ = 3782470970880.

The previous prime is 14820110545939. The next prime is 14820110545969. The reversal of 14820110545968 is 86954501102841.

14820110545968 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 0 + 1 + 1 + 0 + 545 + 96 + 8 = 666.

14820110545968 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 (54).

It is not an unprimeable number, because it can be changed into a prime (14820110545969) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 179103421 + ... + 179186147.

It is an arithmetic number, because the mean of its divisors is an integer number (69510051072).

Almost surely, 2^{14820110545968} is an apocalyptic number.

14820110545968 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 14820110545968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27804020428800).

14820110545968 is an abundant number, since it is smaller than the sum of its proper divisors (40787930311632).

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

14820110545968 is a wasteful number, since it uses less digits than its factorization.

14820110545968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82812 (or 82783 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 14820110545968 in words is "fourteen trillion, eight hundred twenty billion, one hundred ten million, five hundred forty-five thousand, nine hundred sixty-eight".