204130233864 has 160 divisors (see below), whose sum is σ = 580986030240. Its totient is φ = 66951360000.

The previous prime is 204130233841. The next prime is 204130233871. The reversal of 204130233864 is 468332031402.

204130233864 is a `hidden beast` number, since 2 + 0 + 413 + 0 + 233 + 8 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13492224 + ... + 13507344.

It is an arithmetic number, because the mean of its divisors is an integer number (3631162689).

Almost surely, 2^204130233864 is an apocalyptic number.

204130233864 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 204130233864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290493015120).

204130233864 is an abundant number, since it is smaller than the sum of its proper divisors (376855796376).

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

204130233864 is a wasteful number, since it uses less digits than its factorization.

204130233864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15473 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 204130233864 in words is "two hundred four billion, one hundred thirty million, two hundred thirty-three thousand, eight hundred sixty-four".