14782349555820 has 864 divisors, whose sum is σ = 59694485760000. Its totient is φ = 2923927372800.

The previous prime is 14782349555767. The next prime is 14782349555839. The reversal of 14782349555820 is 2855594328741.

It is a happy number.

14782349555820 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 2 + 3 + 49 + 5 + 5 + 582 + 0 = 666.

14782349555820 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 199727181 + ... + 199801179.

It is an arithmetic number, because the mean of its divisors is an integer number (69090840000).

Almost surely, 2^{14782349555820} is an apocalyptic number.

14782349555820 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 14782349555820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29847242880000).

14782349555820 is an abundant number, since it is smaller than the sum of its proper divisors (44912136204180).

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

14782349555820 is a wasteful number, since it uses less digits than its factorization.

14782349555820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74139 (or 74127 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 14782349555820 in words is "fourteen trillion, seven hundred eighty-two billion, three hundred forty-nine million, five hundred fifty-five thousand, eight hundred twenty".