241312801268064 has 96 divisors (see below), whose sum is σ = 641151193979520. Its totient is φ = 79459397563392.

The previous prime is 241312801268041. The next prime is 241312801268113. The reversal of 241312801268064 is 460862108213142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68226204 + ... + 71675940.

It is an arithmetic number, because the mean of its divisors is an integer number (6678658270620).

Almost surely, 2^{241312801268064} is an apocalyptic number.

241312801268064 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 241312801268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320575596989760).

241312801268064 is an abundant number, since it is smaller than the sum of its proper divisors (399838392711456).

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

241312801268064 is a wasteful number, since it uses less digits than its factorization.

241312801268064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458612 (or 3458604 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 241312801268064 in words is "two hundred forty-one trillion, three hundred twelve billion, eight hundred one million, two hundred sixty-eight thousand, sixty-four".