12923449806400 has 567 divisors, whose sum is σ = 38128233361491. Its totient is φ = 4298719057920.

The previous prime is 12923449806389. The next prime is 12923449806451. The reversal of 12923449806400 is 460894432921.

The square root of 12923449806400 is 3594920.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1226830925376 + 11696618881024 = 1107624^2 + 3420032^2 .

It is a super-3 number, since 3×12923449806400³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37243371027 + ... + 37243371373.

Almost surely, 2^{12923449806400} is an apocalyptic number.

12923449806400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12923449806400 is the 3594920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12923449806400

12923449806400 is an abundant number, since it is smaller than the sum of its proper divisors (25204783555091).

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

12923449806400 is an frugal number, since it uses more digits than its factorization.

12923449806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 12923449806400 in words is "twelve trillion, nine hundred twenty-three billion, four hundred forty-nine million, eight hundred six thousand, four hundred".