13848582400 has 81 divisors (see below), whose sum is σ = 34300723233. Its totient is φ = 5535667200.

The previous prime is 13848582373. The next prime is 13848582413. The reversal of 13848582400 is 428584831.

It is a happy number.

The square root of 13848582400 is 117680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4985489664 + 8863092736 = 70608^2 + 94144^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 9413665 + ... + 9415135.

Almost surely, 2^13848582400 is an apocalyptic number.

13848582400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13848582400 is the 117680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13848582400

13848582400 is an abundant number, since it is smaller than the sum of its proper divisors (20452140833).

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

13848582400 is an frugal number, since it uses more digits than its factorization.

13848582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 13848582400 in words is "thirteen billion, eight hundred forty-eight million, five hundred eighty-two thousand, four hundred".