234355372506 has 192 divisors, whose sum is σ = 561378115584. Its totient is φ = 70413235200.

The previous prime is 234355372481. The next prime is 234355372507. The reversal of 234355372506 is 605273553432.

234355372506 is a `hidden beast` number, since 2 + 3 + 43 + 553 + 7 + 2 + 50 + 6 = 666.

234355372506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×234355372506³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (234355372507) 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 95 ways as a sum of consecutive naturals, for example, 348224586 + ... + 348225258.

It is an arithmetic number, because the mean of its divisors is an integer number (2923844352).

Almost surely, 2^234355372506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234355372506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280689057792).

234355372506 is an abundant number, since it is smaller than the sum of its proper divisors (327022743078).

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

234355372506 is a wasteful number, since it uses less digits than its factorization.

234355372506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 234355372506 in words is "two hundred thirty-four billion, three hundred fifty-five million, three hundred seventy-two thousand, five hundred six".