11100384812176 has 45 divisors (see below), whose sum is σ = 23640232956249. Its totient is φ = 5045562825600.

The previous prime is 11100384812161. The next prime is 11100384812201. The reversal of 11100384812176 is 67121848300111.

The square root of 11100384812176 is 3331724.

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., 35447852176 + 11064936960000 = 188276^2 + 3326400^2 .

It is a super-2 number, since 2×11100384812176² (a number of 27 digits) contains 22 as substring.

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, 146557996 + ... + 146633716.

Almost surely, 2^{11100384812176} is an apocalyptic number.

11100384812176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11100384812176 is the 3331724-th square number.

It is an amenable number.

11100384812176 is an abundant number, since it is smaller than the sum of its proper divisors (12539848144073).

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

11100384812176 is an frugal number, since it uses more digits than its factorization.

11100384812176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151472 (or 75734 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The spelling of 11100384812176 in words is "eleven trillion, one hundred billion, three hundred eighty-four million, eight hundred twelve thousand, one hundred seventy-six".