13449224880 has 640 divisors, whose sum is σ = 58136279040. Its totient is φ = 2781941760.

The previous prime is 13449224849. The next prime is 13449224903. The reversal of 13449224880 is 8842294431.

13449224880 is a `hidden beast` number, since 1 + 344 + 9 + 224 + 8 + 80 = 666.

It is a super-2 number, since 2×13449224880² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10417035 + ... + 10418325.

It is an arithmetic number, because the mean of its divisors is an integer number (90837936).

Almost surely, 2^13449224880 is an apocalyptic number.

13449224880 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 13449224880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29068139520).

13449224880 is an abundant number, since it is smaller than the sum of its proper divisors (44687054160).

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

13449224880 is a wasteful number, since it uses less digits than its factorization.

13449224880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1374 counting only the distinct ones).

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

The spelling of 13449224880 in words is "thirteen billion, four hundred forty-nine million, two hundred twenty-four thousand, eight hundred eighty".