11642464416 has 144 divisors (see below), whose sum is σ = 35417239200. Its totient is φ = 3320401920.

The previous prime is 11642464409. The next prime is 11642464429. The reversal of 11642464416 is 61446424611.

11642464416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286110 + ... + 324258.

It is an arithmetic number, because the mean of its divisors is an integer number (245953050).

Almost surely, 2^11642464416 is an apocalyptic number.

11642464416 is a gapful number since it is divisible by the number (16) 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 11642464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708619600).

11642464416 is an abundant number, since it is smaller than the sum of its proper divisors (23774774784).

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

11642464416 is a wasteful number, since it uses less digits than its factorization.

11642464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38207 (or 38182 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 11642464416 in words is "eleven billion, six hundred forty-two million, four hundred sixty-four thousand, four hundred sixteen".