222161909760 has 768 divisors, whose sum is σ = 908767641600. Its totient is φ = 50429952000.

The previous prime is 222161909731. The next prime is 222161909773. The reversal of 222161909760 is 67909161222.

222161909760 is a `hidden beast` number, since 2 + 2 + 21 + 619 + 0 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369653460 + ... + 369654060.

It is an arithmetic number, because the mean of its divisors is an integer number (1183291200).

Almost surely, 2^222161909760 is an apocalyptic number.

222161909760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222161909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454383820800).

222161909760 is an abundant number, since it is smaller than the sum of its proper divisors (686605731840).

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

222161909760 is a wasteful number, since it uses less digits than its factorization.

222161909760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 222161909760 in words is "two hundred twenty-two billion, one hundred sixty-one million, nine hundred nine thousand, seven hundred sixty".