13883800480 has 192 divisors, whose sum is σ = 36892267776. Its totient is φ = 4893696000.

The previous prime is 13883800459. The next prime is 13883800493. The reversal of 13883800480 is 8400838831.

It is a happy number.

It is a super-3 number, since 3×13883800480³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13060429 + ... + 13061491.

It is an arithmetic number, because the mean of its divisors is an integer number (192147228).

Almost surely, 2^13883800480 is an apocalyptic number.

13883800480 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 13883800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446133888).

13883800480 is an abundant number, since it is smaller than the sum of its proper divisors (23008467296).

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

13883800480 is a wasteful number, since it uses less digits than its factorization.

13883800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 13883800480 in words is "thirteen billion, eight hundred eighty-three million, eight hundred thousand, four hundred eighty".