234082684108800 has 684 divisors, whose sum is σ = 850360152569616. Its totient is φ = 61541764300800.

The previous prime is 234082684108799. The next prime is 234082684108807. The reversal of 234082684108800 is 8801486280432.

It is a super-3 number, since 3×234082684108800³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234082684108807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4187722452 + ... + 4187778348.

It is an arithmetic number, because the mean of its divisors is an integer number (1243216597324).

Almost surely, 2^{234082684108800} is an apocalyptic number.

234082684108800 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 234082684108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425180076284808).

234082684108800 is an abundant number, since it is smaller than the sum of its proper divisors (616277468460816).

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

234082684108800 is an frugal number, since it uses more digits than its factorization.

234082684108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56020 (or 55978 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 234082684108800 in words is "two hundred thirty-four trillion, eighty-two billion, six hundred eighty-four million, one hundred eight thousand, eight hundred".