11144846828772 has 18 divisors (see below), whose sum is σ = 28171696150598. Its totient is φ = 3714948942912.

The previous prime is 11144846828701. The next prime is 11144846828839. The reversal of 11144846828772 is 27782864844111.

11144846828772 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 484 + 6 + 8 + 2 + 87 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10420332626916 + 724514201856 = 3228054^2 + 851184^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×11144846828772² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 154789539253 + ... + 154789539324.

Almost surely, 2^{11144846828772} is an apocalyptic number.

11144846828772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11144846828772 is an abundant number, since it is smaller than the sum of its proper divisors (17026849321826).

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

11144846828772 is a wasteful number, since it uses less digits than its factorization.

11144846828772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309579078587 (or 309579078582 counting only the distinct ones).

The product of its digits is 38535168, while the sum is 63.

The spelling of 11144846828772 in words is "eleven trillion, one hundred forty-four billion, eight hundred forty-six million, eight hundred twenty-eight thousand, seven hundred seventy-two".