12164719680 has 336 divisors, whose sum is σ = 43495740288. Its totient is φ = 3118080000.

The previous prime is 12164719673. The next prime is 12164719717. The reversal of 12164719680 is 8691746121.

12164719680 is a `hidden beast` number, since 1 + 2 + 16 + 471 + 96 + 80 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8382955 + ... + 8384405.

It is an arithmetic number, because the mean of its divisors is an integer number (129451608).

Almost surely, 2^12164719680 is an apocalyptic number.

12164719680 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 12164719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21747870144).

12164719680 is an abundant number, since it is smaller than the sum of its proper divisors (31331020608).

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

12164719680 is a wasteful number, since it uses less digits than its factorization.

12164719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12164719680 in words is "twelve billion, one hundred sixty-four million, seven hundred nineteen thousand, six hundred eighty".