10991903683216 has 45 divisors (see below), whose sum is σ = 22263638220201. Its totient is φ = 5256851535936.

The previous prime is 10991903683171. The next prime is 10991903683283. The reversal of 10991903683216 is 61238630919901.

It is a happy number.

The square root of 10991903683216 is 3315404.

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

It can be written as a sum of positive squares in only one way, i.e., 1099016755600 + 9892886927616 = 1048340^2 + 3145296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 304999150 + ... + 305035186.

Almost surely, 2^{10991903683216} is an apocalyptic number.

10991903683216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10991903683216 is the 3315404-th square number.

It is an amenable number.

10991903683216 is an abundant number, since it is smaller than the sum of its proper divisors (11271734536985).

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

10991903683216 is an frugal number, since it uses more digits than its factorization.

10991903683216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72128 (or 36062 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 58.

The spelling of 10991903683216 in words is "ten trillion, nine hundred ninety-one billion, nine hundred three million, six hundred eighty-three thousand, two hundred sixteen".