205352034144 has 48 divisors (see below), whose sum is σ = 543994521840. Its totient is φ = 67822686720.

The previous prime is 205352034103. The next prime is 205352034163. The reversal of 205352034144 is 441430253502.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9801847 + ... + 9822774.

It is an arithmetic number, because the mean of its divisors is an integer number (11333219205).

Almost surely, 2^205352034144 is an apocalyptic number.

205352034144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205352034144 is an abundant number, since it is smaller than the sum of its proper divisors (338642487696).

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

205352034144 is a wasteful number, since it uses less digits than its factorization.

205352034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19624743 (or 19624735 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 205352034144 its reverse (441430253502), we get a palindrome (646782287646).

The spelling of 205352034144 in words is "two hundred five billion, three hundred fifty-two million, thirty-four thousand, one hundred forty-four".