110775793400064 has 729 divisors, whose sum is σ = 351414982945299. Its totient is φ = 33545305497600.

The previous prime is 110775793400059. The next prime is 110775793400071. The reversal of 110775793400064 is 460004397577011.

The square root of 110775793400064 is 10525008.

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

110775793400064 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 7 + 579 + 3 + 4 + 0 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4178263046400 + 106597530353664 = 2044080^2 + 10324608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 663328104109 + ... + 663328104275.

Almost surely, 2^{110775793400064} is an apocalyptic number.

110775793400064 is the 10525008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110775793400064

110775793400064 is an abundant number, since it is smaller than the sum of its proper divisors (240639189545235).

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

110775793400064 is an equidigital number, since it uses as much as digits as its factorization.

110775793400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 110775793400064 in words is "one hundred ten trillion, seven hundred seventy-five billion, seven hundred ninety-three million, four hundred thousand, sixty-four".