242143736688 has 200 divisors, whose sum is σ = 817300888800. Its totient is φ = 69183797760.

The previous prime is 242143736687. The next prime is 242143736699. The reversal of 242143736688 is 886637341242.

242143736688 is a `hidden beast` number, since 242 + 1 + 4 + 37 + 366 + 8 + 8 = 666.

It is a super-3 number, since 3×242143736688³ (a number of 35 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242143736687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172168 + ... + 716888.

It is an arithmetic number, because the mean of its divisors is an integer number (4086504444).

Almost surely, 2^242143736688 is an apocalyptic number.

242143736688 is a gapful number since it is divisible by the number (28) 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 242143736688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408650444400).

242143736688 is an abundant number, since it is smaller than the sum of its proper divisors (575157152112).

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

242143736688 is an equidigital number, since it uses as much as digits as its factorization.

242143736688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544762 (or 544733 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 242143736688 in words is "two hundred forty-two billion, one hundred forty-three million, seven hundred thirty-six thousand, six hundred eighty-eight".