268151342494464 has 864 divisors, whose sum is σ = 921466982532096. Its totient is φ = 73922638970880.

The previous prime is 268151342494457. The next prime is 268151342494489. The reversal of 268151342494464 is 464494243151862.

268151342494464 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 5 + 134 + 2 + 494 + 4 + 6 + 4 = 666.

268151342494464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38073451327 + ... + 38073458369.

It is an arithmetic number, because the mean of its divisors is an integer number (1066512711264).

Almost surely, 2^{268151342494464} is an apocalyptic number.

268151342494464 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 268151342494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460733491266048).

268151342494464 is an abundant number, since it is smaller than the sum of its proper divisors (653315640037632).

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

268151342494464 is a wasteful number, since it uses less digits than its factorization.

268151342494464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745 (or 8728 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 268151342494464 in words is "two hundred sixty-eight trillion, one hundred fifty-one billion, three hundred forty-two million, four hundred ninety-four thousand, four hundred sixty-four".