204045957948 has 192 divisors, whose sum is σ = 563901972480. Its totient is φ = 56219159808.

The previous prime is 204045957943. The next prime is 204045957949. The reversal of 204045957948 is 849759540402.

204045957948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204045957943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98906365 + ... + 98908427.

It is an arithmetic number, because the mean of its divisors is an integer number (2936989440).

Almost surely, 2^204045957948 is an apocalyptic number.

204045957948 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 204045957948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281950986240).

204045957948 is an abundant number, since it is smaller than the sum of its proper divisors (359856014532).

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

204045957948 is a wasteful number, since it uses less digits than its factorization.

204045957948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 204045957948 in words is "two hundred four billion, forty-five million, nine hundred fifty-seven thousand, nine hundred forty-eight".