12114268464 has 40 divisors (see below), whose sum is σ = 31646836080. Its totient is φ = 3992716288.

The previous prime is 12114268447. The next prime is 12114268477. The reversal of 12114268464 is 46486241121.

It is a super-3 number, since 3×12114268464³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1413597 + ... + 1422140.

It is an arithmetic number, because the mean of its divisors is an integer number (791170902).

Almost surely, 2^12114268464 is an apocalyptic number.

It is an amenable number.

12114268464 is an abundant number, since it is smaller than the sum of its proper divisors (19532567616).

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

12114268464 is a wasteful number, since it uses less digits than its factorization.

12114268464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835837 (or 2835831 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The spelling of 12114268464 in words is "twelve billion, one hundred fourteen million, two hundred sixty-eight thousand, four hundred sixty-four".