80430222203408 has 240 divisors, whose sum is σ = 198356052882240. Its totient is φ = 31241355264000.

The previous prime is 80430222203389. The next prime is 80430222203413.

80430222203408 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7756791248 + ... + 7756801616.

It is an arithmetic number, because the mean of its divisors is an integer number (826483553676).

Almost surely, 2^{80430222203408} is an apocalyptic number.

80430222203408 is a gapful number since it is divisible by the number (88) 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 80430222203408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99178026441120).

80430222203408 is an abundant number, since it is smaller than the sum of its proper divisors (117925830678832).

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

80430222203408 is a wasteful number, since it uses less digits than its factorization.

80430222203408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13046 (or 13033 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 80430222203408 in words is "eighty trillion, four hundred thirty billion, two hundred twenty-two million, two hundred three thousand, four hundred eight".