12114567864 has 96 divisors (see below), whose sum is σ = 37625908320. Its totient is φ = 3449449728.

The previous prime is 12114567833. The next prime is 12114567869. The reversal of 12114567864 is 46876541121.

12114567864 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 567 + 86 + 4 = 666.

It is a super-3 number, since 3×12114567864³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114567869) 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, 106654 + ... + 188690.

It is an arithmetic number, because the mean of its divisors is an integer number (391936545).

Almost surely, 2^12114567864 is an apocalyptic number.

12114567864 is a gapful number since it is divisible by the number (14) 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 12114567864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18812954160).

12114567864 is an abundant number, since it is smaller than the sum of its proper divisors (25511340456).

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

12114567864 is a wasteful number, since it uses less digits than its factorization.

12114567864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82349 (or 82342 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12114567864 in words is "twelve billion, one hundred fourteen million, five hundred sixty-seven thousand, eight hundred sixty-four".