12802469904 has 225 divisors, whose sum is σ = 43199918157. Its totient is φ = 3649701888.

The previous prime is 12802469893. The next prime is 12802469909. The reversal of 12802469904 is 40996420821.

The square root of 12802469904 is 113148.

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., 7823756304 + 4978713600 = 88452^2 + 70560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12802469904.

It is not an unprimeable number, because it can be changed into a prime (12802469909) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28513072 + ... + 28513520.

Almost surely, 2^12802469904 is an apocalyptic number.

12802469904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12802469904 is the 113148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12802469904

12802469904 is an abundant number, since it is smaller than the sum of its proper divisors (30397448253).

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

12802469904 is an frugal number, since it uses more digits than its factorization.

12802469904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 1280 and 2469904, that added together give a square (2471184 = 1572²).

The spelling of 12802469904 in words is "twelve billion, eight hundred two million, four hundred sixty-nine thousand, nine hundred four".