12414262504 has 72 divisors (see below), whose sum is σ = 27623649510. Its totient is φ = 5213260416.

The previous prime is 12414262501. The next prime is 12414262589. The reversal of 12414262504 is 40526241421.

It can be written as a sum of positive squares in 3 ways, for example, as 5918224900 + 6496037604 = 76930^2 + 80598^2 .

It is a super-2 number, since 2×12414262504² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12414262501) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 16059462 + ... + 16060234.

Almost surely, 2^12414262504 is an apocalyptic number.

12414262504 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 12414262504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811824755).

12414262504 is an abundant number, since it is smaller than the sum of its proper divisors (15209387006).

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

12414262504 is an frugal number, since it uses more digits than its factorization.

12414262504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 12414262504 in words is "twelve billion, four hundred fourteen million, two hundred sixty-two thousand, five hundred four".