12434787456 has 384 divisors, whose sum is σ = 42241904640. Its totient is φ = 3170119680.

The previous prime is 12434787439. The next prime is 12434787461. The reversal of 12434787456 is 65478743421.

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

It is a junction number, because it is equal to n+sod(n) for n = 12434787399 and 12434787408.

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, 14081991 + ... + 14082873.

It is an arithmetic number, because the mean of its divisors is an integer number (110004960).

Almost surely, 2^12434787456 is an apocalyptic number.

12434787456 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 12434787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21120952320).

12434787456 is an abundant number, since it is smaller than the sum of its proper divisors (29807117184).

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

12434787456 is a wasteful number, since it uses less digits than its factorization.

12434787456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 939 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 51.

The spelling of 12434787456 in words is "twelve billion, four hundred thirty-four million, seven hundred eighty-seven thousand, four hundred fifty-six".