12625658098848 has 336 divisors, whose sum is σ = 39336976264320. Its totient is φ = 3976134801408.

The previous prime is 12625658098831. The next prime is 12625658098849. The reversal of 12625658098848 is 84889085652621.

12625658098848 is a `hidden beast` number, since 12 + 6 + 2 + 565 + 8 + 0 + 9 + 8 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12625658098849) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 162627336 + ... + 162704952.

It is an arithmetic number, because the mean of its divisors is an integer number (117074334120).

Almost surely, 2^{12625658098848} is an apocalyptic number.

12625658098848 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 12625658098848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668488132160).

12625658098848 is an abundant number, since it is smaller than the sum of its proper divisors (26711318165472).

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

12625658098848 is an equidigital number, since it uses as much as digits as its factorization.

12625658098848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78031 (or 78008 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 12625658098848 in words is "twelve trillion, six hundred twenty-five billion, six hundred fifty-eight million, ninety-eight thousand, eight hundred forty-eight".