204101517312 has 864 divisors, whose sum is σ = 774601107840. Its totient is φ = 52517928960.

The previous prime is 204101517283. The next prime is 204101517331. The reversal of 204101517312 is 213715101402.

204101517312 is a `hidden beast` number, since 20 + 410 + 151 + 73 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1907490763 + ... + 1907490869.

It is an arithmetic number, because the mean of its divisors is an integer number (896529060).

Almost surely, 2^204101517312 is an apocalyptic number.

204101517312 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 204101517312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387300553920).

204101517312 is an abundant number, since it is smaller than the sum of its proper divisors (570499590528).

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

204101517312 is an equidigital number, since it uses as much as digits as its factorization.

204101517312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 204101517312 its reverse (213715101402), we get a palindrome (417816618714).

The spelling of 204101517312 in words is "two hundred four billion, one hundred one million, five hundred seventeen thousand, three hundred twelve".