234153204024 has 192 divisors, whose sum is σ = 620938483200. Its totient is φ = 73568416768.

The previous prime is 234153204013. The next prime is 234153204059. The reversal of 234153204024 is 420402351432.

It is a junction number, because it is equal to n+sod(n) for n = 234153203982 and 234153204000.

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, 325664737 + ... + 325665455.

It is an arithmetic number, because the mean of its divisors is an integer number (3234054600).

Almost surely, 2^234153204024 is an apocalyptic number.

234153204024 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 234153204024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310469241600).

234153204024 is an abundant number, since it is smaller than the sum of its proper divisors (386785279176).

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

234153204024 is a wasteful number, since it uses less digits than its factorization.

234153204024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 234153204024 its reverse (420402351432), we get a palindrome (654555555456).

The spelling of 234153204024 in words is "two hundred thirty-four billion, one hundred fifty-three million, two hundred four thousand, twenty-four".