12683264400 has 135 divisors (see below), whose sum is σ = 44037912451. Its totient is φ = 3380401920.

The previous prime is 12683264339. The next prime is 12683264401. The reversal of 12683264400 is 446238621.

The square root of 12683264400 is 112620.

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

12683264400 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 3 + 2 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 12680561664 = 1644^2 + 112608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12683264401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6756262 + ... + 6758138.

Almost surely, 2^12683264400 is an apocalyptic number.

12683264400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12683264400 is the 112620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12683264400

12683264400 is an abundant number, since it is smaller than the sum of its proper divisors (31354648051).

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

12683264400 is an equidigital number, since it uses as much as digits as its factorization.

12683264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 12683264400 by its sum of digits (36), we get a square (456597518400 = 675720²).

12683264400 divided by its sum of digits (36) gives a square (352312900 = 18770²).

The spelling of 12683264400 in words is "twelve billion, six hundred eighty-three million, two hundred sixty-four thousand, four hundred".