3585143421216 has 72 divisors (see below), whose sum is σ = 11651716125504. Its totient is φ = 1024326691200.

The previous prime is 3585143421199. The next prime is 3585143421227. The reversal of 3585143421216 is 6121243415853.

3585143421216 is a `hidden beast` number, since 3 + 5 + 8 + 5 + 1 + 4 + 3 + 421 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 889170460 + ... + 889174491.

It is an arithmetic number, because the mean of its divisors is an integer number (161829390632).

Almost surely, 2^{3585143421216} is an apocalyptic number.

3585143421216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3585143421216 is an abundant number, since it is smaller than the sum of its proper divisors (8066572704288).

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

3585143421216 is a wasteful number, since it uses less digits than its factorization.

3585143421216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778344974 (or 1778344963 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 3585143421216 in words is "three trillion, five hundred eighty-five billion, one hundred forty-three million, four hundred twenty-one thousand, two hundred sixteen".