12445241760 has 240 divisors, whose sum is σ = 50196174336. Its totient is φ = 2844605952.

The previous prime is 12445241749. The next prime is 12445241789. The reversal of 12445241760 is 6714254421.

12445241760 is a `hidden beast` number, since 124 + 4 + 524 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 22129 + ... + 159311.

Almost surely, 2^12445241760 is an apocalyptic number.

12445241760 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 12445241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25098087168).

12445241760 is an abundant number, since it is smaller than the sum of its proper divisors (37750932576).

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

12445241760 is a wasteful number, since it uses less digits than its factorization.

12445241760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137217 (or 137200 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12445241760 in words is "twelve billion, four hundred forty-five million, two hundred forty-one thousand, seven hundred sixty".