32904851616 has 864 divisors, whose sum is σ = 124218057600. Its totient is φ = 8559323136.

The previous prime is 32904851597. The next prime is 32904851627. The reversal of 32904851616 is 61615840923.

32904851616 is a `hidden beast` number, since 3 + 2 + 9 + 0 + 485 + 161 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×32904851616² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 450751356 + ... + 450751428.

It is an arithmetic number, because the mean of its divisors is an integer number (143770900).

Almost surely, 2^32904851616 is an apocalyptic number.

32904851616 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 32904851616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62109028800).

32904851616 is an abundant number, since it is smaller than the sum of its proper divisors (91313205984).

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

32904851616 is an equidigital number, since it uses as much as digits as its factorization.

32904851616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 32904851616 in words is "thirty-two billion, nine hundred four million, eight hundred fifty-one thousand, six hundred sixteen".