933482331936 has 864 divisors, whose sum is σ = 3555084484224. Its totient is φ = 226636185600.

The previous prime is 933482331869. The next prime is 933482331937. The reversal of 933482331936 is 639133284339.

933482331936 is a `hidden beast` number, since 93 + 3 + 482 + 33 + 19 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (933482331937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 675945966 + ... + 675947346.

It is an arithmetic number, because the mean of its divisors is an integer number (4114681116).

Almost surely, 2^933482331936 is an apocalyptic number.

933482331936 is a gapful number since it is divisible by the number (96) 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 933482331936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777542242112).

933482331936 is an abundant number, since it is smaller than the sum of its proper divisors (2621602152288).

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

933482331936 is a wasteful number, since it uses less digits than its factorization.

933482331936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1584 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The spelling of 933482331936 in words is "nine hundred thirty-three billion, four hundred eighty-two million, three hundred thirty-one thousand, nine hundred thirty-six".