13881974400 has 720 divisors, whose sum is σ = 59645738790. Its totient is φ = 3170119680.

The previous prime is 13881974377. The next prime is 13881974401. The reversal of 13881974400 is 447918831.

It is a happy number.

13881974400 is a `hidden beast` number, since 13 + 8 + 8 + 197 + 440 + 0 = 666.

13881974400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13320853056 + 561121344 = 115416^2 + 23688^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (13881974401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12700254 + ... + 12701346.

Almost surely, 2^13881974400 is an apocalyptic number.

13881974400 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 13881974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29822869395).

13881974400 is an abundant number, since it is smaller than the sum of its proper divisors (45763764390).

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

13881974400 is a wasteful number, since it uses less digits than its factorization.

13881974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13881974400 in words is "thirteen billion, eight hundred eighty-one million, nine hundred seventy-four thousand, four hundred".