11438364672 has 384 divisors, whose sum is σ = 40098240000. Its totient is φ = 3152314368.

The previous prime is 11438364607. The next prime is 11438364673. The reversal of 11438364672 is 27646383411.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438364673) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11224579 + ... + 11225597.

It is an arithmetic number, because the mean of its divisors is an integer number (104422500).

Almost surely, 2^11438364672 is an apocalyptic number.

11438364672 is a gapful number since it is divisible by the number (12) 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 11438364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120000).

11438364672 is an abundant number, since it is smaller than the sum of its proper divisors (28659875328).

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

11438364672 is a wasteful number, since it uses less digits than its factorization.

11438364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1060 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 11438364672 in words is "eleven billion, four hundred thirty-eight million, three hundred sixty-four thousand, six hundred seventy-two".