11101993956 has 81 divisors (see below), whose sum is σ = 29840152251. Its totient is φ = 3479606784.

The previous prime is 11101993921. The next prime is 11101993963. The reversal of 11101993956 is 65939910111.

The square root of 11101993956 is 105366.

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 6745993956 + 4356000000 = 82134^2 + 66000^2 .

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, 10746816 + ... + 10747848.

Almost surely, 2^11101993956 is an apocalyptic number.

11101993956 is the 105366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101993956

11101993956 is an abundant number, since it is smaller than the sum of its proper divisors (18738158295).

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

11101993956 is a wasteful number, since it uses less digits than its factorization.

11101993956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 45.

The spelling of 11101993956 in words is "eleven billion, one hundred one million, nine hundred ninety-three thousand, nine hundred fifty-six".