204013822067328 has 512 divisors, whose sum is σ = 730553535936000. Its totient is φ = 48894555193344.

The previous prime is 204013822067281. The next prime is 204013822067333. The reversal of 204013822067328 is 823760228310402.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11306188 + ... + 23148596.

It is an arithmetic number, because the mean of its divisors is an integer number (1426862374875).

Almost surely, 2^{204013822067328} is an apocalyptic number.

204013822067328 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 204013822067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365276767968000).

204013822067328 is an abundant number, since it is smaller than the sum of its proper divisors (526539713868672).

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

204013822067328 is a wasteful number, since it uses less digits than its factorization.

204013822067328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842492 (or 11842480 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 204013822067328 in words is "two hundred four trillion, thirteen billion, eight hundred twenty-two million, sixty-seven thousand, three hundred twenty-eight".