204545429088 has 1152 divisors, whose sum is σ = 803405869056. Its totient is φ = 44590694400.

The previous prime is 204545429083. The next prime is 204545429089. The reversal of 204545429088 is 880924545402.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 204545429088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204545429083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 354497856 + ... + 354498432.

It is an arithmetic number, because the mean of its divisors is an integer number (697400928).

Almost surely, 2^204545429088 is an apocalyptic number.

204545429088 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 204545429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401702934528).

204545429088 is an abundant number, since it is smaller than the sum of its proper divisors (598860439968).

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

204545429088 is a wasteful number, since it uses less digits than its factorization.

204545429088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 204545429088 in words is "two hundred four billion, five hundred forty-five million, four hundred twenty-nine thousand, eighty-eight".