13668917400 has 432 divisors, whose sum is σ = 49540188600. Its totient is φ = 3464052480.

The previous prime is 13668917377. The next prime is 13668917401. The reversal of 13668917400 is 471986631.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (13668917401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 317881779 + ... + 317881821.

Almost surely, 2^13668917400 is an apocalyptic number.

13668917400 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 13668917400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24770094300).

13668917400 is an abundant number, since it is smaller than the sum of its proper divisors (35871271200).

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

13668917400 is a wasteful number, since it uses less digits than its factorization.

13668917400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13668917400 in words is "thirteen billion, six hundred sixty-eight million, nine hundred seventeen thousand, four hundred".