12918372480 has 640 divisors, whose sum is σ = 51473545200. Its totient is φ = 3065610240.

The previous prime is 12918372473. The next prime is 12918372499. The reversal of 12918372480 is 8427381921.

It is a happy number.

12918372480 is a `hidden beast` number, since 1 + 2 + 91 + 83 + 7 + 2 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5215150656 + 7703221824 = 72216^2 + 87768^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19543350 + ... + 19544010.

Almost surely, 2^12918372480 is an apocalyptic number.

12918372480 is a gapful number since it is divisible by the number (10) 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 12918372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25736772600).

12918372480 is an abundant number, since it is smaller than the sum of its proper divisors (38555172720).

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

12918372480 is a wasteful number, since it uses less digits than its factorization.

12918372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12918372480 in words is "twelve billion, nine hundred eighteen million, three hundred seventy-two thousand, four hundred eighty".