48432125329 has 27 divisors (see below), whose sum is σ = 56990155131. Its totient is φ = 41039213040.

The previous prime is 48432125321. The next prime is 48432125341. The reversal of 48432125329 is 92352123484.

The square root of 48432125329 is 220073.

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

48432125329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5674156929 + 42757968400 = 75327^2 + 206780^2 .

It is not a de Polignac number, because 48432125329 - 2³ = 48432125321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48432125321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229536034 + ... + 229536244.

Almost surely, 2^48432125329 is an apocalyptic number.

48432125329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

48432125329 is the 220073-rd square number.

48432125329 is the 110037-th centered octagonal number.

It is an amenable number.

48432125329 is a deficient number, since it is larger than the sum of its proper divisors (8558029802).

48432125329 is an frugal number, since it uses more digits than its factorization.

48432125329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The spelling of 48432125329 in words is "forty-eight billion, four hundred thirty-two million, one hundred twenty-five thousand, three hundred twenty-nine".