234456001361120 has 384 divisors, whose sum is σ = 701982232261632. Its totient is φ = 71870835916800.

The previous prime is 234456001361047. The next prime is 234456001361143. The reversal of 234456001361120 is 21163100654432.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10451377424 + ... + 10451399856.

It is an arithmetic number, because the mean of its divisors is an integer number (1828078729848).

Almost surely, 2^{234456001361120} is an apocalyptic number.

234456001361120 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 234456001361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350991116130816).

234456001361120 is an abundant number, since it is smaller than the sum of its proper divisors (467526230900512).

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

234456001361120 is a wasteful number, since it uses less digits than its factorization.

234456001361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36434 (or 36426 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 234456001361120 in words is "two hundred thirty-four trillion, four hundred fifty-six billion, one million, three hundred sixty-one thousand, one hundred twenty".