241812813471552 has 560 divisors, whose sum is σ = 758638056000000. Its totient is φ = 76039291883520.

The previous prime is 241812813471529. The next prime is 241812813471557. The reversal of 241812813471552 is 255174318218142.

241812813471552 is a `hidden beast` number, since 2 + 4 + 1 + 8 + 1 + 2 + 8 + 13 + 4 + 71 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241812813471557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3517294074 + ... + 3517362822.

Almost surely, 2^{241812813471552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241812813471552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379319028000000).

241812813471552 is an abundant number, since it is smaller than the sum of its proper divisors (516825242528448).

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

241812813471552 is a wasteful number, since it uses less digits than its factorization.

241812813471552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69356 (or 69337 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The spelling of 241812813471552 in words is "two hundred forty-one trillion, eight hundred twelve billion, eight hundred thirteen million, four hundred seventy-one thousand, five hundred fifty-two".