13804894400 has 336 divisors, whose sum is σ = 39322126080. Its totient is φ = 4720742400.

The previous prime is 13804894351. The next prime is 13804894483. The reversal of 13804894400 is 449840831.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27121346 + ... + 27121854.

Almost surely, 2^13804894400 is an apocalyptic number.

13804894400 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 13804894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661063040).

13804894400 is an abundant number, since it is smaller than the sum of its proper divisors (25517231680).

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

13804894400 is a wasteful number, since it uses less digits than its factorization.

13804894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 13804894400 in words is "thirteen billion, eight hundred four million, eight hundred ninety-four thousand, four hundred".