12314004264 has 320 divisors, whose sum is σ = 38162741760. Its totient is φ = 3692666880.

The previous prime is 12314004229. The next prime is 12314004289. The reversal of 12314004264 is 46240041321.

It is a happy number.

12314004264 is a `hidden beast` number, since 1 + 231 + 4 + 0 + 0 + 426 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36539904 + ... + 36540240.

It is an arithmetic number, because the mean of its divisors is an integer number (119258568).

Almost surely, 2^12314004264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12314004264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19081370880).

12314004264 is an abundant number, since it is smaller than the sum of its proper divisors (25848737496).

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

12314004264 is a wasteful number, since it uses less digits than its factorization.

12314004264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12314004264 its reverse (46240041321), we get a palindrome (58554045585).

The spelling of 12314004264 in words is "twelve billion, three hundred fourteen million, four thousand, two hundred sixty-four".