217074545016000 has 224 divisors, whose sum is σ = 819177312225792. Its totient is φ = 49617038822400.

The previous prime is 217074545015989. The next prime is 217074545016013. The reversal of 217074545016000 is 610545470712.

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 (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645887194 + ... + 646223193.

Almost surely, 2^{217074545016000} is an apocalyptic number.

217074545016000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217074545016000 is an abundant number, since it is smaller than the sum of its proper divisors (602102767209792).

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

217074545016000 is a wasteful number, since it uses less digits than its factorization.

217074545016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292110424 (or 1292110404 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 217074545016000 in words is "two hundred seventeen trillion, seventy-four billion, five hundred forty-five million, sixteen thousand".