13678444800 has 648 divisors, whose sum is σ = 52858882440. Its totient is φ = 3361996800.

The previous prime is 13678444751. The next prime is 13678444811. The reversal of 13678444800 is 844487631.

13678444800 is a `hidden beast` number, since 136 + 78 + 4 + 448 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2364293376 + 11314151424 = 48624^2 + 106368^2 .

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 71 ways as a sum of consecutive naturals, for example, 59731086 + ... + 59731314.

Almost surely, 2^13678444800 is an apocalyptic number.

13678444800 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 13678444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26429441220).

13678444800 is an abundant number, since it is smaller than the sum of its proper divisors (39180437640).

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

13678444800 is a wasteful number, since it uses less digits than its factorization.

13678444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13678444800 in words is "thirteen billion, six hundred seventy-eight million, four hundred forty-four thousand, eight hundred".