12430466064 has 225 divisors, whose sum is σ = 38204959023. Its totient is φ = 3901328064.

The previous prime is 12430466029. The next prime is 12430466071. The reversal of 12430466064 is 46066403421.

The square root of 12430466064 is 111492.

It is a perfect power (a square), and thus also a powerful number.

12430466064 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 0 + 46 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 76260447 + ... + 76260609.

Almost surely, 2^12430466064 is an apocalyptic number.

12430466064 is the 111492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430466064

12430466064 is an abundant number, since it is smaller than the sum of its proper divisors (25774492959).

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

12430466064 is an equidigital number, since it uses as much as digits as its factorization.

12430466064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Multiplying 12430466064 by its sum of digits (36), we get a square (447496778304 = 668952²).

12430466064 divided by its sum of digits (36) gives a square (345290724 = 18582²).

Adding to 12430466064 its reverse (46066403421), we get a palindrome (58496869485).

The spelling of 12430466064 in words is "twelve billion, four hundred thirty million, four hundred sixty-six thousand, sixty-four".