241525048459968 has 2352 divisors, whose sum is σ = 921731402985120. Its totient is φ = 62191477555200.

The previous prime is 241525048459963. The next prime is 241525048459979. The reversal of 241525048459968 is 869954840525142.

241525048459968 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 2 + 5 + 0 + 484 + 59 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a super-2 number, since 2×241525048459968² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 241525048459896 and 241525048459905.

It is not an unprimeable number, because it can be changed into a prime (241525048459963) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 317378512708 + ... + 317378513468.

It is an arithmetic number, because the mean of its divisors is an integer number (391892603310).

Almost surely, 2^{241525048459968} is an apocalyptic number.

241525048459968 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 241525048459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460865701492560).

241525048459968 is an abundant number, since it is smaller than the sum of its proper divisors (680206354525152).

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

241525048459968 is a wasteful number, since it uses less digits than its factorization.

241525048459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 72.

The spelling of 241525048459968 in words is "two hundred forty-one trillion, five hundred twenty-five billion, forty-eight million, four hundred fifty-nine thousand, nine hundred sixty-eight".