234850583139840 has 640 divisors, whose sum is σ = 880154080819200. Its totient is φ = 59192872796160.

The previous prime is 234850583139719. The next prime is 234850583139841. The reversal of 234850583139840 is 48931385058432.

234850583139840 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 5 + 0 + 583 + 1 + 3 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×234850583139840² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234850583139841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565816224 + ... + 566231136.

It is an arithmetic number, because the mean of its divisors is an integer number (1375240751280).

Almost surely, 2^{234850583139840} is an apocalyptic number.

234850583139840 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 234850583139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440077040409600).

234850583139840 is an abundant number, since it is smaller than the sum of its proper divisors (645303497679360).

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

234850583139840 is a wasteful number, since it uses less digits than its factorization.

234850583139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415395 (or 415373 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 234850583139840 in words is "two hundred thirty-four trillion, eight hundred fifty billion, five hundred eighty-three million, one hundred thirty-nine thousand, eight hundred forty".