17421618816 has 96 divisors (see below), whose sum is σ = 57294338400. Its totient is φ = 4977603072.

The previous prime is 17421618803. The next prime is 17421618821. The reversal of 17421618816 is 61881612471.

17421618816 is a `hidden beast` number, since 1 + 7 + 4 + 21 + 618 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 1072146 + ... + 1088273.

It is an arithmetic number, because the mean of its divisors is an integer number (596816025).

Almost surely, 2^17421618816 is an apocalyptic number.

17421618816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

17421618816 is an abundant number, since it is smaller than the sum of its proper divisors (39872719584).

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

17421618816 is a wasteful number, since it uses less digits than its factorization.

17421618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160446 (or 2160431 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 17421618816 in words is "seventeen billion, four hundred twenty-one million, six hundred eighteen thousand, eight hundred sixteen".