13433774112 has 288 divisors, whose sum is σ = 44194235904. Its totient is φ = 3832012800.

The previous prime is 13433774111. The next prime is 13433774113. The reversal of 13433774112 is 21147733431.

It is an interprime number because it is at equal distance from previous prime (13433774111) and next prime (13433774113).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (13433774111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3631848 + ... + 3635544.

It is an arithmetic number, because the mean of its divisors is an integer number (153452208).

Almost surely, 2^13433774112 is an apocalyptic number.

13433774112 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 13433774112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22097117952).

13433774112 is an abundant number, since it is smaller than the sum of its proper divisors (30760461792).

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

13433774112 is a wasteful number, since it uses less digits than its factorization.

13433774112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3781 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The spelling of 13433774112 in words is "thirteen billion, four hundred thirty-three million, seven hundred seventy-four thousand, one hundred twelve".