14053628304 has 225 divisors, whose sum is σ = 42279310227. Its totient is φ = 4506720768.

The previous prime is 14053628269. The next prime is 14053628327. The reversal of 14053628304 is 40382635041.

The square root of 14053628304 is 118548.

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

14053628304 is a `hidden beast` number, since 1 + 40 + 536 + 2 + 83 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212576400 + 13841051904 = 14580^2 + 117648^2 .

It is a super-3 number, since 3×14053628304³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 157905892 + ... + 157905980.

Almost surely, 2^14053628304 is an apocalyptic number.

14053628304 is the 118548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14053628304

14053628304 is an abundant number, since it is smaller than the sum of its proper divisors (28225681923).

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

14053628304 is an frugal number, since it uses more digits than its factorization.

14053628304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 14053628304 by its sum of digits (36), we get a square (505930618944 = 711288²).

14053628304 divided by its sum of digits (36) gives a square (390378564 = 19758²).

The spelling of 14053628304 in words is "fourteen billion, fifty-three million, six hundred twenty-eight thousand, three hundred four".