217480501045444 has 768 divisors, whose sum is σ = 533338767360000. Its totient is φ = 76741281792000.

The previous prime is 217480501045421. The next prime is 217480501045447. The reversal of 217480501045444 is 444540105084712.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (217480501045447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 103611481107 + ... + 103611483205.

It is an arithmetic number, because the mean of its divisors is an integer number (694451520000).

Almost surely, 2^{217480501045444} 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 217480501045444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266669383680000).

217480501045444 is an abundant number, since it is smaller than the sum of its proper divisors (315858266314556).

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

217480501045444 is a wasteful number, since it uses less digits than its factorization.

217480501045444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 49.

The spelling of 217480501045444 in words is "two hundred seventeen trillion, four hundred eighty billion, five hundred one million, forty-five thousand, four hundred forty-four".