12430781664 has 192 divisors, whose sum is σ = 39967312896. Its totient is φ = 3305263104.

The previous prime is 12430781663. The next prime is 12430781669. The reversal of 12430781664 is 46618703421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430781663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561004 + ... + 582740.

It is an arithmetic number, because the mean of its divisors is an integer number (208163088).

Almost surely, 2^12430781664 is an apocalyptic number.

12430781664 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 12430781664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19983656448).

12430781664 is an abundant number, since it is smaller than the sum of its proper divisors (27536531232).

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

12430781664 is a wasteful number, since it uses less digits than its factorization.

12430781664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21817 (or 21809 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 12430781664 in words is "twelve billion, four hundred thirty million, seven hundred eighty-one thousand, six hundred sixty-four".