13354418880 has 336 divisors, whose sum is σ = 51468247584. Its totient is φ = 3149660160.

The previous prime is 13354418873. The next prime is 13354418881. The reversal of 13354418880 is 8881445331.

13354418880 is a `hidden beast` number, since 13 + 3 + 544 + 18 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13354418881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1166464 + ... + 1177856.

Almost surely, 2^13354418880 is an apocalyptic number.

13354418880 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 13354418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25734123792).

13354418880 is an abundant number, since it is smaller than the sum of its proper divisors (38113828704).

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

13354418880 is a wasteful number, since it uses less digits than its factorization.

13354418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11464 (or 11451 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

It can be divided in two parts, 13354 and 418880, that added together give a palindrome (432234).

The spelling of 13354418880 in words is "thirteen billion, three hundred fifty-four million, four hundred eighteen thousand, eight hundred eighty".