217045145424448 has 112 divisors (see below), whose sum is σ = 473628523708800. Its totient is φ = 97865950515200.

The previous prime is 217045145424421. The next prime is 217045145424467. The reversal of 217045145424448 is 844424541540712.

It is a super-2 number, since 2×217045145424448² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 78466365 + ... + 81185347.

Almost surely, 2^{217045145424448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217045145424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236814261854400).

217045145424448 is an abundant number, since it is smaller than the sum of its proper divisors (256583378284352).

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

217045145424448 is a wasteful number, since it uses less digits than its factorization.

217045145424448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719916 (or 2719906 counting only the distinct ones).

The product of its (nonzero) digits is 22937600, while the sum is 55.

The spelling of 217045145424448 in words is "two hundred seventeen trillion, forty-five billion, one hundred forty-five million, four hundred twenty-four thousand, four hundred forty-eight".