4532012352 has 420 divisors, whose sum is σ = 15815622420. Its totient is φ = 1239146496.

The previous prime is 4532012347. The next prime is 4532012413. The reversal of 4532012352 is 2532102354.

It is a happy number.

4532012352 is a `hidden beast` number, since 4 + 532 + 0 + 123 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 934891776 + 3597120576 = 30576^2 + 59976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40106248 + ... + 40106360.

Almost surely, 2^4532012352 is an apocalyptic number.

4532012352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4532012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907811210).

4532012352 is an abundant number, since it is smaller than the sum of its proper divisors (11283610068).

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

4532012352 is a wasteful number, since it uses less digits than its factorization.

4532012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4532012352 is about 67320.2224595255. Note that the first 3 decimals coincide. The cubic root of 4532012352 is about 1654.8692834331.

The spelling of 4532012352 in words is "four billion, five hundred thirty-two million, twelve thousand, three hundred fifty-two".