205343266128 has 480 divisors, whose sum is σ = 718656003072. Its totient is φ = 49061376000.

The previous prime is 205343266087. The next prime is 205343266147. The reversal of 205343266128 is 821662343502.

It is a happy number.

It is a super-2 number, since 2×205343266128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 205343266128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341669028 + ... + 341669628.

Almost surely, 2^205343266128 is an apocalyptic number.

205343266128 is a gapful number since it is divisible by the number (28) 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 205343266128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359328001536).

205343266128 is an abundant number, since it is smaller than the sum of its proper divisors (513312736944).

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

205343266128 is a wasteful number, since it uses less digits than its factorization.

205343266128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 205343266128 in words is "two hundred five billion, three hundred forty-three million, two hundred sixty-six thousand, one hundred twenty-eight".