243125112215040 has 320 divisors, whose sum is σ = 897775235850240. Its totient is φ = 55472396042240.

The previous prime is 243125112215039. The next prime is 243125112215081. The reversal of 243125112215040 is 40512211521342.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 243125112214992 and 243125112215010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83208000 + ... + 86080319.

It is an arithmetic number, because the mean of its divisors is an integer number (2805547612032).

Almost surely, 2^{243125112215040} is an apocalyptic number.

243125112215040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243125112215040 is an abundant number, since it is smaller than the sum of its proper divisors (654650123635200).

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

243125112215040 is a wasteful number, since it uses less digits than its factorization.

243125112215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169288373 (or 169288357 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 243125112215040 its reverse (40512211521342), we get a palindrome (283637323736382).

The spelling of 243125112215040 in words is "two hundred forty-three trillion, one hundred twenty-five billion, one hundred twelve million, two hundred fifteen thousand, forty".