13863398400 has 528 divisors, whose sum is σ = 52633774080. Its totient is φ = 3572121600.

The previous prime is 13863398383. The next prime is 13863398473. The reversal of 13863398400 is 489336831.

13863398400 is a `hidden beast` number, since 1 + 3 + 8 + 633 + 9 + 8 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21426877 + ... + 21427523.

Almost surely, 2^13863398400 is an apocalyptic number.

13863398400 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 13863398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26316887040).

13863398400 is an abundant number, since it is smaller than the sum of its proper divisors (38770375680).

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

13863398400 is a wasteful number, since it uses less digits than its factorization.

13863398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13863398400 in words is "thirteen billion, eight hundred sixty-three million, three hundred ninety-eight thousand, four hundred".