205303697942016 has 160 divisors (see below), whose sum is σ = 553142040929280. Its totient is φ = 67658940923904.

The previous prime is 205303697942011. The next prime is 205303697942041. The reversal of 205303697942016 is 610249796303502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205303697942011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1490414841 + ... + 1490552583.

It is an arithmetic number, because the mean of its divisors is an integer number (3457137755808).

Almost surely, 2^{205303697942016} 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 205303697942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276571020464640).

205303697942016 is an abundant number, since it is smaller than the sum of its proper divisors (347838342987264).

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

205303697942016 is a wasteful number, since it uses less digits than its factorization.

205303697942016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148756 (or 148740 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 205303697942016 in words is "two hundred five trillion, three hundred three billion, six hundred ninety-seven million, nine hundred forty-two thousand, sixteen".