32856219648 has 224 divisors, whose sum is σ = 111257608320. Its totient is φ = 9387048960.

The previous prime is 32856219637. The next prime is 32856219653. The reversal of 32856219648 is 84691265823.

32856219648 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 621 + 9 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 32856219594 and 32856219603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537678 + ... + 1558898.

Almost surely, 2^32856219648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32856219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55628804160).

32856219648 is an abundant number, since it is smaller than the sum of its proper divisors (78401388672).

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

32856219648 is an equidigital number, since it uses as much as digits as its factorization.

32856219648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21263 (or 21233 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 32856219648 in words is "thirty-two billion, eight hundred fifty-six million, two hundred nineteen thousand, six hundred forty-eight".