12733535232 has 352 divisors, whose sum is σ = 41562288000. Its totient is φ = 3819110400.

The previous prime is 12733535203. The next prime is 12733535317. The reversal of 12733535232 is 23253533721.

12733535232 is a `hidden beast` number, since 1 + 2 + 73 + 353 + 5 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45314932 + ... + 45315212.

Almost surely, 2^12733535232 is an apocalyptic number.

12733535232 is a gapful number since it is divisible by the number (12) 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 12733535232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20781144000).

12733535232 is an abundant number, since it is smaller than the sum of its proper divisors (28828752768).

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

12733535232 is a wasteful number, since it uses less digits than its factorization.

12733535232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 446 counting only the distinct ones).

The product of its digits is 113400, while the sum is 36.

The spelling of 12733535232 in words is "twelve billion, seven hundred thirty-three million, five hundred thirty-five thousand, two hundred thirty-two".