12048818688 has 280 divisors, whose sum is σ = 38016726000. Its totient is φ = 3802650624.

The previous prime is 12048818687. The next prime is 12048818729. The reversal of 12048818688 is 88681884021.

12048818688 is a `hidden beast` number, since 1 + 2 + 0 + 488 + 1 + 86 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12048818687) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7090863 + ... + 7092561.

Almost surely, 2^12048818688 is an apocalyptic number.

12048818688 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 12048818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008363000).

12048818688 is an abundant number, since it is smaller than the sum of its proper divisors (25967907312).

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

12048818688 is an frugal number, since it uses more digits than its factorization.

12048818688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 12048818688 in words is "twelve billion, forty-eight million, eight hundred eighteen thousand, six hundred eighty-eight".