241652271168 has 672 divisors, whose sum is σ = 894971121408. Its totient is φ = 61020241920.

The previous prime is 241652271149. The next prime is 241652271169. The reversal of 241652271168 is 861172256142.

241652271168 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 522 + 7 + 116 + 8 = 666.

241652271168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (241652271169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198563296 + ... + 198564512.

It is an arithmetic number, because the mean of its divisors is an integer number (1331802264).

Almost surely, 2^241652271168 is an apocalyptic number.

241652271168 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 241652271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447485560704).

241652271168 is an abundant number, since it is smaller than the sum of its proper divisors (653318850240).

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

241652271168 is a wasteful number, since it uses less digits than its factorization.

241652271168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1277 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 241652271168 in words is "two hundred forty-one billion, six hundred fifty-two million, two hundred seventy-one thousand, one hundred sixty-eight".