12446678160 has 480 divisors, whose sum is σ = 52049882880. Its totient is φ = 2720729088.

The previous prime is 12446678149. The next prime is 12446678191. The reversal of 12446678160 is 6187664421.

12446678160 is a `hidden beast` number, since 1 + 24 + 466 + 7 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2431764 + ... + 2436876.

It is an arithmetic number, because the mean of its divisors is an integer number (108437256).

Almost surely, 2^12446678160 is an apocalyptic number.

12446678160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12446678160 is the 70560-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12446678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26024941440).

12446678160 is an abundant number, since it is smaller than the sum of its proper divisors (39603204720).

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

12446678160 is a wasteful number, since it uses less digits than its factorization.

12446678160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12446678160 in words is "twelve billion, four hundred forty-six million, six hundred seventy-eight thousand, one hundred sixty".