234164172096 has 336 divisors, whose sum is σ = 716718912000. Its totient is φ = 72954556416.

The previous prime is 234164172083. The next prime is 234164172127. The reversal of 234164172096 is 690271461432.

234164172096 is a `hidden beast` number, since 23 + 4 + 1 + 6 + 417 + 209 + 6 = 666.

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, 137823855 + ... + 137825553.

It is an arithmetic number, because the mean of its divisors is an integer number (2133092000).

Almost surely, 2^234164172096 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 234164172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358359456000).

234164172096 is an abundant number, since it is smaller than the sum of its proper divisors (482554739904).

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

234164172096 is a wasteful number, since it uses less digits than its factorization.

234164172096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 234164172096 in words is "two hundred thirty-four billion, one hundred sixty-four million, one hundred seventy-two thousand, ninety-six".