205745417000 has 64 divisors (see below), whose sum is σ = 490528256400. Its totient is φ = 80745350400.

The previous prime is 205745416969. The next prime is 205745417011. The reversal of 205745417000 is 714547502.

It can be written as a sum of positive squares in 8 ways, for example, as 79380808516 + 126364608484 = 281746^2 + 355478^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1887995 + ... + 1993994.

Almost surely, 2^205745417000 is an apocalyptic number.

205745417000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205745417000 is an abundant number, since it is smaller than the sum of its proper divisors (284782839400).

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

205745417000 is a wasteful number, since it uses less digits than its factorization.

205745417000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882063 (or 3882049 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 35.

The spelling of 205745417000 in words is "two hundred five billion, seven hundred forty-five million, four hundred seventeen thousand".