234804942028800 has 4860 divisors, whose sum is σ = 1053685927659456. Its totient is φ = 51425810841600.

The previous prime is 234804942028777. The next prime is 234804942028997. The reversal of 234804942028800 is 8820249408432.

234804942028800 is a `hidden beast` number, since 2 + 3 + 4 + 80 + 49 + 420 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4860).

It is a super-2 number, since 2×234804942028800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 323 ways as a sum of consecutive naturals, for example, 4995849830377 + ... + 4995849830423.

Almost surely, 2^{234804942028800} is an apocalyptic number.

234804942028800 is a gapful number since it is divisible by the number (20) 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 234804942028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526842963829728).

234804942028800 is an abundant number, since it is smaller than the sum of its proper divisors (818880985630656).

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

234804942028800 is an frugal number, since it uses more digits than its factorization.

234804942028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 234804942028800 in words is "two hundred thirty-four trillion, eight hundred four billion, nine hundred forty-two million, twenty-eight thousand, eight hundred".