234364521744 has 160 divisors (see below), whose sum is σ = 678348944000. Its totient is φ = 77468368896.

The previous prime is 234364521733. The next prime is 234364521767. The reversal of 234364521744 is 447125463432.

234364521744 is a `hidden beast` number, since 2 + 3 + 436 + 45 + 2 + 174 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 234364521744.

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 31 ways as a sum of consecutive naturals, for example, 67792464 + ... + 67795920.

It is an arithmetic number, because the mean of its divisors is an integer number (4239680900).

Almost surely, 2^234364521744 is an apocalyptic number.

234364521744 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 234364521744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339174472000).

234364521744 is an abundant number, since it is smaller than the sum of its proper divisors (443984422256).

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

234364521744 is a wasteful number, since it uses less digits than its factorization.

234364521744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4730 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 234364521744 in words is "two hundred thirty-four billion, three hundred sixty-four million, five hundred twenty-one thousand, seven hundred forty-four".