12498349248 has 784 divisors, whose sum is σ = 47973081600. Its totient is φ = 3200601600.

The previous prime is 12498349219. The next prime is 12498349271. The reversal of 12498349248 is 84294389421.

It is a happy number.

12498349248 is a `hidden beast` number, since 1 + 24 + 98 + 3 + 492 + 48 = 666.

12498349248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (784).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12498349194 and 12498349203.

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 111 ways as a sum of consecutive naturals, for example, 176033053 + ... + 176033123.

Almost surely, 2^12498349248 is an apocalyptic number.

12498349248 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 12498349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986540800).

12498349248 is an abundant number, since it is smaller than the sum of its proper divisors (35474732352).

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

12498349248 is an frugal number, since it uses more digits than its factorization.

12498349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 12498349248 in words is "twelve billion, four hundred ninety-eight million, three hundred forty-nine thousand, two hundred forty-eight".