11014809984 has 192 divisors, whose sum is σ = 32327933040. Its totient is φ = 3599106048.

The previous prime is 11014809961. The next prime is 11014809991. The reversal of 11014809984 is 48990841011.

11014809984 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 480 + 99 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19089504 + ... + 19090080.

Almost surely, 2^11014809984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163966520).

11014809984 is an abundant number, since it is smaller than the sum of its proper divisors (21313123056).

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

11014809984 is a wasteful number, since it uses less digits than its factorization.

11014809984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 11014809984 in words is "eleven billion, fourteen million, eight hundred nine thousand, nine hundred eighty-four".