108268353523264 has 189 divisors, whose sum is σ = 237536087854611. Its totient is φ = 48926120432640.

The previous prime is 108268353523249. The next prime is 108268353523277. The reversal of 108268353523264 is 462325353862801.

The square root of 108268353523264 is 10405208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25152311283264 + 83116042240000 = 5015208^2 + 9116800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 108268353523199 and 108268353523208.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 290263682182 + ... + 290263682554.

Almost surely, 2^{108268353523264} is an apocalyptic number.

108268353523264 is the 10405208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108268353523264

108268353523264 is an abundant number, since it is smaller than the sum of its proper divisors (129267734331347).

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

108268353523264 is an frugal number, since it uses more digits than its factorization.

108268353523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 58.

The spelling of 108268353523264 in words is "one hundred eight trillion, two hundred sixty-eight billion, three hundred fifty-three million, five hundred twenty-three thousand, two hundred sixty-four".