12345036480 has 336 divisors, whose sum is σ = 49522075200. Its totient is φ = 2821496832.

The previous prime is 12345036479. The next prime is 12345036499. The reversal of 12345036480 is 8463054321.

12345036480 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 5 + 0 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 981592 + ... + 994088.

Almost surely, 2^12345036480 is an apocalyptic number.

12345036480 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 12345036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24761037600).

12345036480 is an abundant number, since it is smaller than the sum of its proper divisors (37177038720).

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

12345036480 is a wasteful number, since it uses less digits than its factorization.

12345036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12514 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12345036480 in words is "twelve billion, three hundred forty-five million, thirty-six thousand, four hundred eighty".