32232816000000 has 6160 divisors, whose sum is σ = 167186584984320. Its totient is φ = 5971968000000.

The previous prime is 32232815999971. The next prime is 32232816000037. The reversal of 32232816000000 is 61823223.

32232816000000 is a `hidden beast` number, since 3 + 22 + 32 + 8 + 1 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 1696463999991 + ... + 1696464000009.

Almost surely, 2^{32232816000000} is an apocalyptic number.

32232816000000 is a gapful number since it is divisible by the number (30) 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 32232816000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83593292492160).

32232816000000 is an abundant number, since it is smaller than the sum of its proper divisors (134953768984320).

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

32232816000000 is an equidigital number, since it uses as much as digits as its factorization.

32232816000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 32232816000000 its reverse (61823223), we get a palindrome (32232877823223).

The spelling of 32232816000000 in words is "thirty-two trillion, two hundred thirty-two billion, eight hundred sixteen million", and thus it is an aban number.