12735249408 has 352 divisors, whose sum is σ = 44993387520. Its totient is φ = 3479224320.

The previous prime is 12735249403. The next prime is 12735249419. The reversal of 12735249408 is 80494253721.

12735249408 is a `hidden beast` number, since 12 + 73 + 524 + 9 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735249403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4449898 + ... + 4452758.

Almost surely, 2^12735249408 is an apocalyptic number.

12735249408 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 12735249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22496693760).

12735249408 is an abundant number, since it is smaller than the sum of its proper divisors (32258138112).

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

12735249408 is a wasteful number, since it uses less digits than its factorization.

12735249408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12735249408 in words is "twelve billion, seven hundred thirty-five million, two hundred forty-nine thousand, four hundred eight".