12345034464 has 288 divisors, whose sum is σ = 42664527360. Its totient is φ = 3307392000.

The previous prime is 12345034463. The next prime is 12345034511. The reversal of 12345034464 is 46443054321.

12345034464 is a `hidden beast` number, since 123 + 45 + 0 + 34 + 464 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345034463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3867109 + ... + 3870299.

It is an arithmetic number, because the mean of its divisors is an integer number (148140720).

Almost surely, 2^12345034464 is an apocalyptic number.

12345034464 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 12345034464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332263680).

12345034464 is an abundant number, since it is smaller than the sum of its proper divisors (30319492896).

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

12345034464 is a wasteful number, since it uses less digits than its factorization.

12345034464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 12345034464 its reverse (46443054321), we get a palindrome (58788088785).

The spelling of 12345034464 in words is "twelve billion, three hundred forty-five million, thirty-four thousand, four hundred sixty-four".