14350428934416 has 135 divisors (see below), whose sum is σ = 40629044795781. Its totient is φ = 4728395941632.

The previous prime is 14350428934403. The next prime is 14350428934433. The reversal of 14350428934416 is 61443982405341.

The square root of 14350428934416 is 3788196.

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

14350428934416 is a `hidden beast` number, since 1 + 4 + 3 + 5 + 0 + 4 + 289 + 344 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2755586720016 + 11594842214400 = 1659996^2 + 3405120^2 .

It is a super-2 number, since 2×14350428934416² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4045791555 + ... + 4045795101.

Almost surely, 2^{14350428934416} is an apocalyptic number.

14350428934416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14350428934416 is the 3788196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14350428934416

14350428934416 is an abundant number, since it is smaller than the sum of its proper divisors (26278615861365).

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

14350428934416 is an frugal number, since it uses more digits than its factorization.

14350428934416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 14350428934416 in words is "fourteen trillion, three hundred fifty billion, four hundred twenty-eight million, nine hundred thirty-four thousand, four hundred sixteen".