13788684000 has 1536 divisors, whose sum is σ = 65515806720. Its totient is φ = 2737152000.

The previous prime is 13788683981. The next prime is 13788684001. The reversal of 13788684000 is 48688731.

It is a super-3 number, since 3×13788684000³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13788684001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 226043970 + ... + 226044030.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 2^13788684000 is an apocalyptic number.

13788684000 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 13788684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32757903360).

13788684000 is an abundant number, since it is smaller than the sum of its proper divisors (51727122720).

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

13788684000 is a wasteful number, since it uses less digits than its factorization.

13788684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13788684000 in words is "thirteen billion, seven hundred eighty-eight million, six hundred eighty-four thousand".