204314611032 has 256 divisors, whose sum is σ = 657054720000. Its totient is φ = 57621248640.

The previous prime is 204314611019. The next prime is 204314611073. The reversal of 204314611032 is 230116413402.

It is a happy number.

204314611032 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 14 + 611 + 0 + 32 = 666.

It is a super-2 number, since 2×204314611032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204314610987 and 204314611005.

It is a congruent number.

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, 37617357 + ... + 37622787.

It is an arithmetic number, because the mean of its divisors is an integer number (2566620000).

Almost surely, 2^204314611032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204314611032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328527360000).

204314611032 is an abundant number, since it is smaller than the sum of its proper divisors (452740108968).

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

204314611032 is a wasteful number, since it uses less digits than its factorization.

204314611032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 204314611032 in words is "two hundred four billion, three hundred fourteen million, six hundred eleven thousand, thirty-two".