234834292368 has 320 divisors, whose sum is σ = 773557989120. Its totient is φ = 67568836608.

The previous prime is 234834292361. The next prime is 234834292369. The reversal of 234834292368 is 863292438432.

234834292368 is a `hidden beast` number, since 2 + 3 + 483 + 42 + 92 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (234834292361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14981271 + ... + 14996937.

It is an arithmetic number, because the mean of its divisors is an integer number (2417368716).

Almost surely, 2^234834292368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234834292368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386778994560).

234834292368 is an abundant number, since it is smaller than the sum of its proper divisors (538723696752).

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

234834292368 is a wasteful number, since it uses less digits than its factorization.

234834292368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15871 (or 15859 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 234834292368 in words is "two hundred thirty-four billion, eight hundred thirty-four million, two hundred ninety-two thousand, three hundred sixty-eight".