13228278336 has 504 divisors, whose sum is σ = 49074165504. Its totient is φ = 3373332480.

The previous prime is 13228278293. The next prime is 13228278347. The reversal of 13228278336 is 63387282231.

13228278336 is a `hidden beast` number, since 1 + 32 + 282 + 7 + 8 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×13228278336³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13228278291 and 13228278300.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 11373691 + ... + 11374853.

It is an arithmetic number, because the mean of its divisors is an integer number (97369376).

Almost surely, 2^13228278336 is an apocalyptic number.

13228278336 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 13228278336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24537082752).

13228278336 is an abundant number, since it is smaller than the sum of its proper divisors (35845887168).

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

13228278336 is a wasteful number, since it uses less digits than its factorization.

13228278336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1219 counting only the distinct ones).

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

The spelling of 13228278336 in words is "thirteen billion, two hundred twenty-eight million, two hundred seventy-eight thousand, three hundred thirty-six".