268863342968064 has 144 divisors (see below), whose sum is σ = 771099172284672. Its totient is φ = 82674917842944.

The previous prime is 268863342968053. The next prime is 268863342968083. The reversal of 268863342968064 is 460869243368862.

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, 7298854 + ... + 24310490.

It is an arithmetic number, because the mean of its divisors is an integer number (5354855363088).

Almost surely, 2^{268863342968064} is an apocalyptic number.

268863342968064 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 268863342968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385549586142336).

268863342968064 is an abundant number, since it is smaller than the sum of its proper divisors (502235829316608).

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

268863342968064 is a wasteful number, since it uses less digits than its factorization.

268863342968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17013252 (or 17013238 counting only the distinct ones).

The product of its (nonzero) digits is 3439853568, while the sum is 75.

The spelling of 268863342968064 in words is "two hundred sixty-eight trillion, eight hundred sixty-three billion, three hundred forty-two million, nine hundred sixty-eight thousand, sixty-four".