222281866175040 has 1344 divisors, whose sum is σ = 949877635399680. Its totient is φ = 46558955520000.

The previous prime is 222281866175029. The next prime is 222281866175077. The reversal of 222281866175040 is 40571668182222.

222281866175040 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 8 + 18 + 6 + 617 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48102543930 + ... + 48102548550.

Almost surely, 2^{222281866175040} is an apocalyptic number.

222281866175040 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 222281866175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474938817699840).

222281866175040 is an abundant number, since it is smaller than the sum of its proper divisors (727595769224640).

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

222281866175040 is a wasteful number, since it uses less digits than its factorization.

222281866175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8739 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 222281866175040 in words is "two hundred twenty-two trillion, two hundred eighty-one billion, eight hundred sixty-six million, one hundred seventy-five thousand, forty".