234538014720 has 384 divisors, whose sum is σ = 765583902720. Its totient is φ = 61284679680.

The previous prime is 234538014713. The next prime is 234538014727. The reversal of 234538014720 is 27410835432.

It is an interprime number because it is at equal distance from previous prime (234538014713) and next prime (234538014727).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234538014727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639067977 + ... + 639068343.

It is an arithmetic number, because the mean of its divisors is an integer number (1993708080).

Almost surely, 2^234538014720 is an apocalyptic number.

234538014720 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 234538014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382791951360).

234538014720 is an abundant number, since it is smaller than the sum of its proper divisors (531045888000).

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

234538014720 is a wasteful number, since it uses less digits than its factorization.

234538014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 234538014720 in words is "two hundred thirty-four billion, five hundred thirty-eight million, fourteen thousand, seven hundred twenty".