234252128016 has 135 divisors (see below), whose sum is σ = 669062626687. Its totient is φ = 76510087680.

The previous prime is 234252127999. The next prime is 234252128021. The reversal of 234252128016 is 610821252432.

The square root of 234252128016 is 483996.

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

234252128016 is a `hidden beast` number, since 2 + 3 + 42 + 521 + 2 + 80 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54896490000 + 179355638016 = 234300^2 + 423504^2 .

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

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, 307821076 + ... + 307821836.

Almost surely, 2^234252128016 is an apocalyptic number.

234252128016 is the 483996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234252128016

234252128016 is an abundant number, since it is smaller than the sum of its proper divisors (434810498671).

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

234252128016 is an frugal number, since it uses more digits than its factorization.

234252128016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 234252128016 by its sum of digits (36), we get a square (8433076608576 = 2903976²).

234252128016 divided by its sum of digits (36) gives a square (6507003556 = 80666²).

The spelling of 234252128016 in words is "two hundred thirty-four billion, two hundred fifty-two million, one hundred twenty-eight thousand, sixteen".