80222431404672 has 640 divisors, whose sum is σ = 254507600793600. Its totient is φ = 24996786831360.

The previous prime is 80222431404617. The next prime is 80222431404677. The reversal of 80222431404672 is 27640413422208.

80222431404672 is a `hidden beast` number, since 8 + 0 + 2 + 2 + 2 + 43 + 140 + 467 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (80222431404677) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18827135022 + ... + 18827139282.

It is an arithmetic number, because the mean of its divisors is an integer number (397668126240).

Almost surely, 2^{80222431404672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80222431404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127253800396800).

80222431404672 is an abundant number, since it is smaller than the sum of its proper divisors (174285169388928).

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

80222431404672 is a wasteful number, since it uses less digits than its factorization.

80222431404672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 80222431404672 in words is "eighty trillion, two hundred twenty-two billion, four hundred thirty-one million, four hundred four thousand, six hundred seventy-two".