13449116880 has 560 divisors, whose sum is σ = 49806383616. Its totient is φ = 3370429440.

The previous prime is 13449116861. The next prime is 13449116909. The reversal of 13449116880 is 8861194431.

13449116880 is a `hidden beast` number, since 13 + 449 + 116 + 8 + 80 = 666.

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 111 ways as a sum of consecutive naturals, for example, 77740474 + ... + 77740646.

Almost surely, 2^13449116880 is an apocalyptic number.

13449116880 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 13449116880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24903191808).

13449116880 is an abundant number, since it is smaller than the sum of its proper divisors (36357266736).

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

13449116880 is a wasteful number, since it uses less digits than its factorization.

13449116880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 13449116880 in words is "thirteen billion, four hundred forty-nine million, one hundred sixteen thousand, eight hundred eighty".