12467429856 has 288 divisors, whose sum is σ = 42044184000. Its totient is φ = 3502033920.

The previous prime is 12467429839. The next prime is 12467429873. The reversal of 12467429856 is 65892476421.

12467429856 is a `hidden beast` number, since 1 + 2 + 467 + 42 + 98 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (12467429839) and next prime (12467429873).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 6024790 + ... + 6026858.

It is an arithmetic number, because the mean of its divisors is an integer number (145986750).

Almost surely, 2^12467429856 is an apocalyptic number.

12467429856 is a gapful number since it is divisible by the number (16) 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 12467429856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022092000).

12467429856 is an abundant number, since it is smaller than the sum of its proper divisors (29576754144).

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

12467429856 is a wasteful number, since it uses less digits than its factorization.

12467429856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2142 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 12467429856 in words is "twelve billion, four hundred sixty-seven million, four hundred twenty-nine thousand, eight hundred fifty-six".