12450705408 has 234 divisors, whose sum is σ = 37022435372. Its totient is φ = 4030709760.

The previous prime is 12450705383. The next prime is 12450705409. The reversal of 12450705408 is 80450705421.

12450705408 is a `hidden beast` number, since 1 + 2 + 45 + 0 + 70 + 540 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12450705409) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 175362013 + ... + 175362083.

Almost surely, 2^12450705408 is an apocalyptic number.

12450705408 is a gapful number since it is divisible by the number (18) 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 12450705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511217686).

12450705408 is an abundant number, since it is smaller than the sum of its proper divisors (24571729964).

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

12450705408 is an frugal number, since it uses more digits than its factorization.

12450705408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 12450705408 in words is "twelve billion, four hundred fifty million, seven hundred five thousand, four hundred eight".