217752648268144 has 80 divisors (see below), whose sum is σ = 460420969029120. Its totient is φ = 98941698535680.

The previous prime is 217752648268091. The next prime is 217752648268151. The reversal of 217752648268144 is 441862846257712.

It is a self number, because there is not a number n which added to its sum of digits gives 217752648268144.

It is a congruent number.

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, 5944797222 + ... + 5944833850.

It is an arithmetic number, because the mean of its divisors is an integer number (5755262112864).

Almost surely, 2^{217752648268144} is an apocalyptic number.

It is an amenable number.

217752648268144 is an abundant number, since it is smaller than the sum of its proper divisors (242668320760976).

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

217752648268144 is a wasteful number, since it uses less digits than its factorization.

217752648268144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48278 (or 48272 counting only the distinct ones).

The product of its digits is 289013760, while the sum is 67.

The spelling of 217752648268144 in words is "two hundred seventeen trillion, seven hundred fifty-two billion, six hundred forty-eight million, two hundred sixty-eight thousand, one hundred forty-four".