13226778432 has 672 divisors, whose sum is σ = 47929190400. Its totient is φ = 3406233600.

The previous prime is 13226778431. The next prime is 13226778437. The reversal of 13226778432 is 23487762231.

It is a tau number, because it is divible by the number of its divisors (672).

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 (13226778431) 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 95 ways as a sum of consecutive naturals, for example, 148615444 + ... + 148615532.

It is an arithmetic number, because the mean of its divisors is an integer number (71323200).

Almost surely, 2^13226778432 is an apocalyptic number.

13226778432 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 13226778432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964595200).

13226778432 is an abundant number, since it is smaller than the sum of its proper divisors (34702411968).

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

13226778432 is a wasteful number, since it uses less digits than its factorization.

13226778432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 13226778432 in words is "thirteen billion, two hundred twenty-six million, seven hundred seventy-eight thousand, four hundred thirty-two".