204900651648 has 768 divisors, whose sum is σ = 794099376000. Its totient is φ = 51372195840.

The previous prime is 204900651607. The next prime is 204900651649. The reversal of 204900651648 is 846156009402.

204900651648 is a `hidden beast` number, since 2 + 0 + 4 + 90 + 0 + 6 + 516 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (204900651649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54018840 + ... + 54022632.

Almost surely, 2^204900651648 is an apocalyptic number.

204900651648 is a gapful number since it is divisible by the number (28) 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 204900651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397049688000).

204900651648 is an abundant number, since it is smaller than the sum of its proper divisors (589198724352).

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

204900651648 is a wasteful number, since it uses less digits than its factorization.

204900651648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 204900651648 in words is "two hundred four billion, nine hundred million, six hundred fifty-one thousand, six hundred forty-eight".