11309481984 has 272 divisors, whose sum is σ = 32765652864. Its totient is φ = 3460300800.

The previous prime is 11309481979. The next prime is 11309481991. The reversal of 11309481984 is 48918490311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185401314 + ... + 185401374.

Almost surely, 2^11309481984 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 11309481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382826432).

11309481984 is an abundant number, since it is smaller than the sum of its proper divisors (21456170880).

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

11309481984 is an frugal number, since it uses more digits than its factorization.

11309481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 11309481984 in words is "eleven billion, three hundred nine million, four hundred eighty-one thousand, nine hundred eighty-four".