12348324450 has 576 divisors, whose sum is σ = 43755199488. Its totient is φ = 2514758400.

The previous prime is 12348324421. The next prime is 12348324481. The reversal of 12348324450 is 5442384321.

12348324450 is a `hidden beast` number, since 123 + 4 + 83 + 2 + 4 + 450 = 666.

It is a super-2 number, since 2×12348324450² (a number of 21 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 62681752 + ... + 62681948.

It is an arithmetic number, because the mean of its divisors is an integer number (75963888).

Almost surely, 2^12348324450 is an apocalyptic number.

12348324450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12348324450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877599744).

12348324450 is an abundant number, since it is smaller than the sum of its proper divisors (31406875038).

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

12348324450 is a wasteful number, since it uses less digits than its factorization.

12348324450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12348324450 in words is "twelve billion, three hundred forty-eight million, three hundred twenty-four thousand, four hundred fifty".