204838672038 has 384 divisors, whose sum is σ = 586128420864. Its totient is φ = 46855065600.

The previous prime is 204838672019. The next prime is 204838672061. The reversal of 204838672038 is 830276838402.

It is a happy number.

204838672038 is an astonishing number since 204838672038 = 204838 + ... + 672038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95139970 + ... + 95142122.

It is an arithmetic number, because the mean of its divisors is an integer number (1526376096).

Almost surely, 2^204838672038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204838672038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293064210432).

204838672038 is an abundant number, since it is smaller than the sum of its proper divisors (381289748826).

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

204838672038 is a wasteful number, since it uses less digits than its factorization.

204838672038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 204838672038 in words is "two hundred four billion, eight hundred thirty-eight million, six hundred seventy-two thousand, thirty-eight".