12488648160 has 144 divisors (see below), whose sum is σ = 40743860976. Its totient is φ = 3215364096.

The previous prime is 12488648153. The next prime is 12488648167. The reversal of 12488648160 is 6184688421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12488648153) and next prime (12488648167).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12488648167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388212 + ... + 419148.

It is an arithmetic number, because the mean of its divisors is an integer number (282943479).

Almost surely, 2^12488648160 is an apocalyptic number.

12488648160 is a gapful number since it is divisible by the number (10) 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 12488648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20371930488).

12488648160 is an abundant number, since it is smaller than the sum of its proper divisors (28255212816).

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

12488648160 is a wasteful number, since it uses less digits than its factorization.

12488648160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31013 (or 30976 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 12488648160 in words is "twelve billion, four hundred eighty-eight million, six hundred forty-eight thousand, one hundred sixty".