220466416645200 has 180 divisors, whose sum is σ = 776266504937504. Its totient is φ = 53446404000000.

The previous prime is 220466416645183. The next prime is 220466416645207. The reversal of 220466416645200 is 2546614664022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 220466416645200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220466416645207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 759036676 + ... + 759327075.

Almost surely, 2^{220466416645200} is an apocalyptic number.

220466416645200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220466416645200 is an abundant number, since it is smaller than the sum of its proper divisors (555800088292304).

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

220466416645200 is a wasteful number, since it uses less digits than its factorization.

220466416645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518363794 (or 1518363772 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 220466416645200 in words is "two hundred twenty trillion, four hundred sixty-six billion, four hundred sixteen million, six hundred forty-five thousand, two hundred".