205466360623152 has 160 divisors (see below), whose sum is σ = 546678534144000. Its totient is φ = 66468251116800.

The previous prime is 205466360623057. The next prime is 205466360623169. The reversal of 205466360623152 is 251326063664502.

205466360623152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205466360623095 and 205466360623104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2205687777 + ... + 2205780927.

It is an arithmetic number, because the mean of its divisors is an integer number (3416740838400).

Almost surely, 2^{205466360623152} 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 205466360623152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273339267072000).

205466360623152 is an abundant number, since it is smaller than the sum of its proper divisors (341212173520848).

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

205466360623152 is a wasteful number, since it uses less digits than its factorization.

205466360623152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103159 (or 103153 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 205466360623152 in words is "two hundred five trillion, four hundred sixty-six billion, three hundred sixty million, six hundred twenty-three thousand, one hundred fifty-two".