205740912468 has 288 divisors, whose sum is σ = 624058982400. Its totient is φ = 52235124480.

The previous prime is 205740912451. The next prime is 205740912479. The reversal of 205740912468 is 864219047502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47153655 + ... + 47158017.

Almost surely, 2^205740912468 is an apocalyptic number.

205740912468 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 205740912468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312029491200).

205740912468 is an abundant number, since it is smaller than the sum of its proper divisors (418318069932).

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

205740912468 is a wasteful number, since it uses less digits than its factorization.

205740912468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 205740912468 in words is "two hundred five billion, seven hundred forty million, nine hundred twelve thousand, four hundred sixty-eight".