32228964827136 has 1215 divisors, whose sum is σ = 123118055194827. Its totient is φ = 8371159695360.

The previous prime is 32228964827071. The next prime is 32228964827207. The reversal of 32228964827136 is 63172846982223.

The square root of 32228964827136 is 5677056.

It is a perfect power (a square), and thus also a powerful number.

32228964827136 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 89 + 6 + 482 + 71 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2929905893371 + ... + 2929905893381.

Almost surely, 2^{32228964827136} is an apocalyptic number.

32228964827136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32228964827136 is the 5677056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32228964827136

32228964827136 is an abundant number, since it is smaller than the sum of its proper divisors (90889090367691).

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

32228964827136 is an frugal number, since it uses more digits than its factorization.

32228964827136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 23 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 32228964827136 in words is "thirty-two trillion, two hundred twenty-eight billion, nine hundred sixty-four million, eight hundred twenty-seven thousand, one hundred thirty-six".