242147119104 has 624 divisors, whose sum is σ = 819731689920. Its totient is φ = 68089282560.

The previous prime is 242147119091. The next prime is 242147119171. The reversal of 242147119104 is 401911741242.

It is a happy number.

242147119104 is a `hidden beast` number, since 2 + 421 + 47 + 1 + 191 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408342232 + ... + 408342824.

It is an arithmetic number, because the mean of its divisors is an integer number (1313672580).

Almost surely, 2^242147119104 is an apocalyptic number.

242147119104 is a gapful number since it is divisible by the number (24) 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 242147119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409865844960).

242147119104 is an abundant number, since it is smaller than the sum of its proper divisors (577584570816).

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

242147119104 is a wasteful number, since it uses less digits than its factorization.

242147119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 242147119104 in words is "two hundred forty-two billion, one hundred forty-seven million, one hundred nineteen thousand, one hundred four".