12346656504 has 256 divisors, whose sum is σ = 41615078400. Its totient is φ = 2958778368.

The previous prime is 12346656463. The next prime is 12346656523. The reversal of 12346656504 is 40565664321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070979 + ... + 1082445.

It is an arithmetic number, because the mean of its divisors is an integer number (162558900).

Almost surely, 2^12346656504 is an apocalyptic number.

12346656504 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 12346656504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20807539200).

12346656504 is an abundant number, since it is smaller than the sum of its proper divisors (29268421896).

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

12346656504 is a wasteful number, since it uses less digits than its factorization.

12346656504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11542 (or 11538 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 12346656504 in words is "twelve billion, three hundred forty-six million, six hundred fifty-six thousand, five hundred four".