32230462076928 has 1536 divisors, whose sum is σ = 108159891840000. Its totient is φ = 9438958190592.

The previous prime is 32230462076837. The next prime is 32230462076941. The reversal of 32230462076928 is 82967026403223.

32230462076928 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 0 + 4 + 620 + 7 + 6 + 9 + 2 + 8 = 666.

32230462076928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95639353176 + ... + 95639353512.

It is an arithmetic number, because the mean of its divisors is an integer number (70416596250).

Almost surely, 2^{32230462076928} is an apocalyptic number.

32230462076928 is a gapful number since it is divisible by the number (38) 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 32230462076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54079945920000).

32230462076928 is an abundant number, since it is smaller than the sum of its proper divisors (75929429763072).

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

32230462076928 is a wasteful number, since it uses less digits than its factorization.

32230462076928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 32230462076928 in words is "thirty-two trillion, two hundred thirty billion, four hundred sixty-two million, seventy-six thousand, nine hundred twenty-eight".