14129780281600 has 243 divisors, whose sum is σ = 36925930868463. Its totient is φ = 5352277893120.

The previous prime is 14129780281583. The next prime is 14129780281621. The reversal of 14129780281600 is 618208792141.

The square root of 14129780281600 is 3758960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 184514920704 + 13945265360896 = 429552^2 + 3734336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5713617964 + ... + 5713620436.

Almost surely, 2^{14129780281600} is an apocalyptic number.

14129780281600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14129780281600 is the 3758960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14129780281600

14129780281600 is an abundant number, since it is smaller than the sum of its proper divisors (22796150586863).

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

14129780281600 is an frugal number, since it uses more digits than its factorization.

14129780281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

Multiplying 14129780281600 by its sum of digits (49), we get a square (692359233798400 = 26312720²).

The spelling of 14129780281600 in words is "fourteen trillion, one hundred twenty-nine billion, seven hundred eighty million, two hundred eighty-one thousand, six hundred".