204906311064 has 1024 divisors, whose sum is σ = 753558220800. Its totient is φ = 50791587840.

The previous prime is 204906311039. The next prime is 204906311069. The reversal of 204906311064 is 460113609402.

204906311064 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 0 + 631 + 10 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204906311069) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2806935732 + ... + 2806935804.

It is an arithmetic number, because the mean of its divisors is an integer number (735896700).

Almost surely, 2^204906311064 is an apocalyptic number.

204906311064 is a gapful number since it is divisible by the number (24) 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 204906311064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376779110400).

204906311064 is an abundant number, since it is smaller than the sum of its proper divisors (548651909736).

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

204906311064 is a wasteful number, since it uses less digits than its factorization.

204906311064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 204906311064 in words is "two hundred four billion, nine hundred six million, three hundred eleven thousand, sixty-four".