204651540811872 has 1152 divisors, whose sum is σ = 779029172812800. Its totient is φ = 51101764116480.

The previous prime is 204651540811801. The next prime is 204651540811873. The reversal of 204651540811872 is 278118045156402.

204651540811872 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 5 + 1 + 540 + 8 + 11 + 87 + 2 = 666.

It is a super-2 number, since 2×204651540811872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204651540811873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4944805963 + ... + 4944847349.

It is an arithmetic number, because the mean of its divisors is an integer number (676240601400).

Almost surely, 2^{204651540811872} is an apocalyptic number.

204651540811872 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 204651540811872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389514586406400).

204651540811872 is an abundant number, since it is smaller than the sum of its proper divisors (574377632000928).

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

204651540811872 is a wasteful number, since it uses less digits than its factorization.

204651540811872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41697 (or 41672 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 204651540811872 in words is "two hundred four trillion, six hundred fifty-one billion, five hundred forty million, eight hundred eleven thousand, eight hundred seventy-two".