13228346880 has 240 divisors, whose sum is σ = 52358907744. Its totient is φ = 3023585280.

The previous prime is 13228346861. The next prime is 13228346899. The reversal of 13228346880 is 8864382231.

13228346880 is a `hidden beast` number, since 1 + 3 + 228 + 346 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13228346861) and next prime (13228346899).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13228346880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120270 + ... + 202290.

Almost surely, 2^13228346880 is an apocalyptic number.

13228346880 is a gapful number since it is divisible by the number (10) 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 13228346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26179453872).

13228346880 is an abundant number, since it is smaller than the sum of its proper divisors (39130560864).

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

13228346880 is an equidigital number, since it uses as much as digits as its factorization.

13228346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82057 (or 82038 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13228346880 in words is "thirteen billion, two hundred twenty-eight million, three hundred forty-six thousand, eight hundred eighty".