219945655490160 has 160 divisors (see below), whose sum is σ = 682245683981568. Its totient is φ = 58616560005120.

The previous prime is 219945655490149. The next prime is 219945655490203. The reversal of 219945655490160 is 61094556549912.

It is a super-3 number, since 3×219945655490160³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 219945655490091 and 219945655490100.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2728712419 + ... + 2728793021.

Almost surely, 2^{219945655490160} is an apocalyptic number.

219945655490160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219945655490160 is an abundant number, since it is smaller than the sum of its proper divisors (462300028491408).

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

219945655490160 is a wasteful number, since it uses less digits than its factorization.

219945655490160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87383 (or 87377 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 66.

The spelling of 219945655490160 in words is "two hundred nineteen trillion, nine hundred forty-five billion, six hundred fifty-five million, four hundred ninety thousand, one hundred sixty".