32112305413056 has 1568 divisors, whose sum is σ = 113313698021376. Its totient is φ = 8923799808000.

The previous prime is 32112305413009. The next prime is 32112305413057. The reversal of 32112305413056 is 65031450321123.

32112305413056 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 2 + 30 + 541 + 30 + 56 = 666.

It is a super-3 number, since 3×32112305413056³ (a number of 41 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32112305413056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32112305413057) 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 223 ways as a sum of consecutive naturals, for example, 46472221671 + ... + 46472222361.

Almost surely, 2^{32112305413056} is an apocalyptic number.

32112305413056 is a gapful number since it is divisible by the number (36) 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 32112305413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56656849010688).

32112305413056 is an abundant number, since it is smaller than the sum of its proper divisors (81201392608320).

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

32112305413056 is a wasteful number, since it uses less digits than its factorization.

32112305413056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 32112305413056 its reverse (65031450321123), we get a palindrome (97143755734179).

The spelling of 32112305413056 in words is "thirty-two trillion, one hundred twelve billion, three hundred five million, four hundred thirteen thousand, fifty-six".