8332129152 has 320 divisors, whose sum is σ = 25792311600. Its totient is φ = 2668363776.

The previous prime is 8332129111. The next prime is 8332129159. The reversal of 8332129152 is 2519212338.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8332129159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32420608 + ... + 32420864.

Almost surely, 2^8332129152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8332129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896155800).

8332129152 is an abundant number, since it is smaller than the sum of its proper divisors (17460182448).

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

8332129152 is a wasteful number, since it uses less digits than its factorization.

8332129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 8332129152 is about 91280.4971064466. The cubic root of 8332129152 is about 2027.3030061656.

The spelling of 8332129152 in words is "eight billion, three hundred thirty-two million, one hundred twenty-nine thousand, one hundred fifty-two".