204137434368 has 324 divisors, whose sum is σ = 695112678624. Its totient is φ = 56439244800.

The previous prime is 204137434357. The next prime is 204137434427. The reversal of 204137434368 is 863434731402.

204137434368 is a `hidden beast` number, since 20 + 4 + 137 + 434 + 3 + 68 = 666.

It is a super-2 number, since 2×204137434368² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15492423 + ... + 15505593.

Almost surely, 2^204137434368 is an apocalyptic number.

204137434368 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 204137434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347556339312).

204137434368 is an abundant number, since it is smaller than the sum of its proper divisors (490975244256).

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

204137434368 is a wasteful number, since it uses less digits than its factorization.

204137434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13262 (or 13214 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 204137434368 in words is "two hundred four billion, one hundred thirty-seven million, four hundred thirty-four thousand, three hundred sixty-eight".