14342829142752 has 192 divisors, whose sum is σ = 45641029996800. Its totient is φ = 4345858967040.

The previous prime is 14342829142721. The next prime is 14342829142753. The reversal of 14342829142752 is 25724192824341.

14342829142752 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 2 + 82 + 91 + 427 + 52 = 666.

14342829142752 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14342829142753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97504074 + ... + 97651062.

It is an arithmetic number, because the mean of its divisors is an integer number (237713697900).

Almost surely, 2^{14342829142752} is an apocalyptic number.

14342829142752 is a gapful number since it is divisible by the number (12) 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 14342829142752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22820514998400).

14342829142752 is an abundant number, since it is smaller than the sum of its proper divisors (31298200854048).

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

14342829142752 is a wasteful number, since it uses less digits than its factorization.

14342829142752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157286 (or 157272 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 14342829142752 in words is "fourteen trillion, three hundred forty-two billion, eight hundred twenty-nine million, one hundred forty-two thousand, seven hundred fifty-two".