12166858368 has 384 divisors, whose sum is σ = 42335222400. Its totient is φ = 3472326144.

The previous prime is 12166858351. The next prime is 12166858423. The reversal of 12166858368 is 86385866121.

12166858368 is a `hidden beast` number, since 1 + 216 + 68 + 5 + 8 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13716421 + ... + 13717307.

It is an arithmetic number, because the mean of its divisors is an integer number (110247975).

Almost surely, 2^12166858368 is an apocalyptic number.

12166858368 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 12166858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21167611200).

12166858368 is an abundant number, since it is smaller than the sum of its proper divisors (30168364032).

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

12166858368 is an frugal number, since it uses more digits than its factorization.

12166858368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 899 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 12166858368 in words is "twelve billion, one hundred sixty-six million, eight hundred fifty-eight thousand, three hundred sixty-eight".