268535866540096 has 49 divisors (see below), whose sum is σ = 537105033658879. Its totient is φ = 133210705449024.

The previous prime is 268535866540093. The next prime is 268535866540127. The reversal of 268535866540096 is 690045668535862.

The square root of 268535866540096 is 16387064.

The cubic root of 268535866540096 is 64516.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a super-2 number, since 2×268535866540096² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268535866540093) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 2114455641985 + ... + 2114455642111.

Almost surely, 2^{268535866540096} is an apocalyptic number.

268535866540096 is the 16387064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268535866540096

268535866540096 is an abundant number, since it is smaller than the sum of its proper divisors (268569167118783).

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

268535866540096 is an frugal number, since it uses more digits than its factorization.

268535866540096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2239488000, while the sum is 73.

The spelling of 268535866540096 in words is "two hundred sixty-eight trillion, five hundred thirty-five billion, eight hundred sixty-six million, five hundred forty thousand, ninety-six".