32304127646466 has 96 divisors (see below), whose sum is σ = 76227148998000. Its totient is φ = 9827729989632.

The previous prime is 32304127646449. The next prime is 32304127646489. The reversal of 32304127646466 is 66464672140323.

32304127646466 is a `hidden beast` number, since 3 + 2 + 30 + 41 + 2 + 76 + 46 + 466 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18502687175625 + 13801440470841 = 4301475^2 + 3715029^2 .

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 47 ways as a sum of consecutive naturals, for example, 22758160 + ... + 24135908.

Almost surely, 2^{32304127646466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32304127646466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38113574499000).

32304127646466 is an abundant number, since it is smaller than the sum of its proper divisors (43923021351534).

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

32304127646466 is a wasteful number, since it uses less digits than its factorization.

32304127646466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378900 (or 1378897 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

Adding to 32304127646466 its reverse (66464672140323), we get a palindrome (98768799786789).

The spelling of 32304127646466 in words is "thirty-two trillion, three hundred four billion, one hundred twenty-seven million, six hundred forty-six thousand, four hundred sixty-six".