241625583808 has 112 divisors (see below), whose sum is σ = 563170263040. Its totient is φ = 100685638656.

The previous prime is 241625583781. The next prime is 241625583869. The reversal of 241625583808 is 808385526142.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29153041 + ... + 29161327.

It is an arithmetic number, because the mean of its divisors is an integer number (5028305920).

Almost surely, 2^241625583808 is an apocalyptic number.

241625583808 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 241625583808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281585131520).

241625583808 is an abundant number, since it is smaller than the sum of its proper divisors (321544679232).

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

241625583808 is a wasteful number, since it uses less digits than its factorization.

241625583808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 10092 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 241625583808 in words is "two hundred forty-one billion, six hundred twenty-five million, five hundred eighty-three thousand, eight hundred eight".