234115435008 has 720 divisors, whose sum is σ = 849970794816. Its totient is φ = 60728279040.

The previous prime is 234115434977. The next prime is 234115435031. The reversal of 234115435008 is 800534511432.

234115435008 is a `hidden beast` number, since 2 + 34 + 115 + 4 + 3 + 500 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365234368 + ... + 365235008.

Almost surely, 2^234115435008 is an apocalyptic number.

234115435008 is a gapful number since it is divisible by the number (28) 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 234115435008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424985397408).

234115435008 is an abundant number, since it is smaller than the sum of its proper divisors (615855359808).

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

234115435008 is a wasteful number, since it uses less digits than its factorization.

234115435008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 234115435008 in words is "two hundred thirty-four billion, one hundred fifteen million, four hundred thirty-five thousand, eight".