1109516728896 has 63 divisors (see below), whose sum is σ = 3180301836361. Its totient is φ = 369830482944.

The previous prime is 1109516728877. The next prime is 1109516728897. The reversal of 1109516728896 is 6988276159011.

The square root of 1109516728896 is 1053336.

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

1109516728896 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 516 + 7 + 28 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1047216568896 + 62300160000 = 1023336^2 + 249600^2 .

It is a super-2 number, since 2×1109516728896² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1109516728897) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25258120 + ... + 25302008.

Almost surely, 2^{1109516728896} is an apocalyptic number.

1109516728896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1109516728896 is the 1053336-th square number.

It is an amenable number.

1109516728896 is an abundant number, since it is smaller than the sum of its proper divisors (2070785107465).

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

1109516728896 is an frugal number, since it uses more digits than its factorization.

1109516728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87796 (or 43894 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 1109516728896 in words is "one trillion, one hundred nine billion, five hundred sixteen million, seven hundred twenty-eight thousand, eight hundred ninety-six".