234438253758720 has 720 divisors, whose sum is σ = 915829205151168. Its totient is φ = 56789671034880.

The previous prime is 234438253758713. The next prime is 234438253758773. The reversal of 234438253758720 is 27857352834432.

234438253758720 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 3 + 8 + 25 + 3 + 7 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×234438253758720² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1490528722 + ... + 1490685998.

Almost surely, 2^{234438253758720} is an apocalyptic number.

234438253758720 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 234438253758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457914602575584).

234438253758720 is an abundant number, since it is smaller than the sum of its proper divisors (681390951392448).

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

234438253758720 is a wasteful number, since it uses less digits than its factorization.

234438253758720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158628 (or 158605 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 234438253758720 in words is "two hundred thirty-four trillion, four hundred thirty-eight billion, two hundred fifty-three million, seven hundred fifty-eight thousand, seven hundred twenty".