234048162256080 has 240 divisors, whose sum is σ = 771553316088000. Its totient is φ = 58679454040064.

The previous prime is 234048162256067. The next prime is 234048162256087. The reversal of 234048162256080 is 80652261840432.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234048162256087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63902296 + ... + 67465544.

It is an arithmetic number, because the mean of its divisors is an integer number (3214805483700).

Almost surely, 2^{234048162256080} is an apocalyptic number.

234048162256080 is a gapful number since it is divisible by the number (20) 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 234048162256080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385776658044000).

234048162256080 is an abundant number, since it is smaller than the sum of its proper divisors (537505153831920).

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

234048162256080 is a wasteful number, since it uses less digits than its factorization.

234048162256080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564246 (or 3564223 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 234048162256080 in words is "two hundred thirty-four trillion, forty-eight billion, one hundred sixty-two million, two hundred fifty-six thousand, eighty".