12264353174400 has 384 divisors, whose sum is σ = 41026523762400. Its totient is φ = 3219806453760.

The previous prime is 12264353174347. The next prime is 12264353174443. The reversal of 12264353174400 is 447135346221.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 164247474 + ... + 164322126.

Almost surely, 2^{12264353174400} is an apocalyptic number.

12264353174400 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 12264353174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20513261881200).

12264353174400 is an abundant number, since it is smaller than the sum of its proper divisors (28762170588000).

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

12264353174400 is a wasteful number, since it uses less digits than its factorization.

12264353174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74946 (or 74929 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 12264353174400 in words is "twelve trillion, two hundred sixty-four billion, three hundred fifty-three million, one hundred seventy-four thousand, four hundred".