11471474784 has 384 divisors, whose sum is σ = 39539404800. Its totient is φ = 2824980480.

The previous prime is 11471474767. The next prime is 11471474803. The reversal of 11471474784 is 48747417411.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12647259 + ... + 12648165.

It is an arithmetic number, because the mean of its divisors is an integer number (102967200).

Almost surely, 2^11471474784 is an apocalyptic number.

11471474784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11471474784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19769702400).

11471474784 is an abundant number, since it is smaller than the sum of its proper divisors (28067930016).

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

11471474784 is a wasteful number, since it uses less digits than its factorization.

11471474784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1018 counting only the distinct ones).

The product of its digits is 702464, while the sum is 48.

The spelling of 11471474784 in words is "eleven billion, four hundred seventy-one million, four hundred seventy-four thousand, seven hundred eighty-four".