243142637483520 has 640 divisors, whose sum is σ = 866924638272000. Its totient is φ = 64593636065280.

The previous prime is 243142637483429. The next prime is 243142637483533. The reversal of 243142637483520 is 25384736241342.

It is a happy number.

243142637483520 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 4 + 2 + 6 + 37 + 4 + 83 + 520 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20998581091 + ... + 20998592669.

It is an arithmetic number, because the mean of its divisors is an integer number (1354569747300).

Almost surely, 2^{243142637483520} is an apocalyptic number.

243142637483520 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 243142637483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433462319136000).

243142637483520 is an abundant number, since it is smaller than the sum of its proper divisors (623782000788480).

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

243142637483520 is a wasteful number, since it uses less digits than its factorization.

243142637483520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12731 (or 12709 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 243142637483520 in words is "two hundred forty-three trillion, one hundred forty-two billion, six hundred thirty-seven million, four hundred eighty-three thousand, five hundred twenty".