217256890093248 has 112 divisors (see below), whose sum is σ = 585086136912000. Its totient is φ = 71128461969408.

The previous prime is 217256890093223. The next prime is 217256890093259. The reversal of 217256890093248 is 842390098652712.

It is a super-2 number, since 2×217256890093248² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4295623 + ... + 21283001.

It is a 1-persistent number, because it is pandigital, but 2⋅217256890093248 = 434513780186496 is not.

Almost surely, 2^{217256890093248} 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 217256890093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292543068456000).

217256890093248 is an abundant number, since it is smaller than the sum of its proper divisors (367829246818752).

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

217256890093248 is a wasteful number, since it uses less digits than its factorization.

217256890093248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16988582 (or 16988572 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 217256890093248 in words is "two hundred seventeen trillion, two hundred fifty-six billion, eight hundred ninety million, ninety-three thousand, two hundred forty-eight".