234520614144 has 432 divisors, whose sum is σ = 723906735552. Its totient is φ = 75686068224.

The previous prime is 234520614109. The next prime is 234520614203. The reversal of 234520614144 is 441416025432.

234520614144 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 20 + 614 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 234520614099 and 234520614108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273652564 + ... + 273653420.

It is an arithmetic number, because the mean of its divisors is an integer number (1675710036).

Almost surely, 2^234520614144 is an apocalyptic number.

234520614144 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 234520614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361953367776).

234520614144 is an abundant number, since it is smaller than the sum of its proper divisors (489386121408).

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

234520614144 is an frugal number, since it uses more digits than its factorization.

234520614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 234520614144 its reverse (441416025432), we get a palindrome (675936639576).

The spelling of 234520614144 in words is "two hundred thirty-four billion, five hundred twenty million, six hundred fourteen thousand, one hundred forty-four".