11438029152 has 144 divisors (see below), whose sum is σ = 35524092240. Its totient is φ = 3462144000.

The previous prime is 11438029139. The next prime is 11438029153. The reversal of 11438029152 is 25192083411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438029153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4082152 + ... + 4084952.

It is an arithmetic number, because the mean of its divisors is an integer number (246695085).

Almost surely, 2^11438029152 is an apocalyptic number.

11438029152 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 11438029152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17762046120).

11438029152 is an abundant number, since it is smaller than the sum of its proper divisors (24086063088).

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

11438029152 is a wasteful number, since it uses less digits than its factorization.

11438029152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11438029152 in words is "eleven billion, four hundred thirty-eight million, twenty-nine thousand, one hundred fifty-two".