13668351480 has 768 divisors, whose sum is σ = 56504448000. Its totient is φ = 2902376448.

The previous prime is 13668351469. The next prime is 13668351497. The reversal of 13668351480 is 8415386631.

13668351480 is a `hidden beast` number, since 136 + 6 + 8 + 35 + 1 + 480 = 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 191 ways as a sum of consecutive naturals, for example, 125397666 + ... + 125397774.

It is an arithmetic number, because the mean of its divisors is an integer number (73573500).

Almost surely, 2^13668351480 is an apocalyptic number.

13668351480 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 13668351480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28252224000).

13668351480 is an abundant number, since it is smaller than the sum of its proper divisors (42836096520).

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

13668351480 is a wasteful number, since it uses less digits than its factorization.

13668351480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13668351480 in words is "thirteen billion, six hundred sixty-eight million, three hundred fifty-one thousand, four hundred eighty".