234385094164704 has 1536 divisors, whose sum is σ = 796153842892800. Its totient is φ = 58883604480000.

The previous prime is 234385094164691. The next prime is 234385094164729. The reversal of 234385094164704 is 407461490583432.

It is a super-2 number, since 2×234385094164704² (a number of 30 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 195158279304 + ... + 195158280504.

It is an arithmetic number, because the mean of its divisors is an integer number (518329324800).

It is a 1-persistent number, because it is pandigital, but 2⋅234385094164704 = 468770188329408 is not.

Almost surely, 2^{234385094164704} is an apocalyptic number.

234385094164704 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 234385094164704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398076921446400).

234385094164704 is an abundant number, since it is smaller than the sum of its proper divisors (561768748728096).

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

234385094164704 is a wasteful number, since it uses less digits than its factorization.

234385094164704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 234385094164704 in words is "two hundred thirty-four trillion, three hundred eighty-five billion, ninety-four million, one hundred sixty-four thousand, seven hundred four".