204240311352 has 256 divisors, whose sum is σ = 717886771200. Its totient is φ = 52257363840.

The previous prime is 204240311323. The next prime is 204240311357. The reversal of 204240311352 is 253113042402.

204240311352 is a `hidden beast` number, since 204 + 2 + 403 + 1 + 1 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204240311357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1022703 + ... + 1205985.

It is an arithmetic number, because the mean of its divisors is an integer number (2804245200).

Almost surely, 2^204240311352 is an apocalyptic number.

204240311352 is a gapful number since it is divisible by the number (22) 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 204240311352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358943385600).

204240311352 is an abundant number, since it is smaller than the sum of its proper divisors (513646459848).

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

204240311352 is a wasteful number, since it uses less digits than its factorization.

204240311352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183383 (or 183373 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 204240311352 its reverse (253113042402), we get a palindrome (457353353754).

The spelling of 204240311352 in words is "two hundred four billion, two hundred forty million, three hundred eleven thousand, three hundred fifty-two".