12445954560 has 800 divisors, whose sum is σ = 50741127360. Its totient is φ = 2902376448.

The previous prime is 12445954519. The next prime is 12445954561. The reversal of 12445954560 is 6545954421.

12445954560 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 595 + 4 + 56 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12445954561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 655050231 + ... + 655050249.

Almost surely, 2^12445954560 is an apocalyptic number.

12445954560 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 12445954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25370563680).

12445954560 is an abundant number, since it is smaller than the sum of its proper divisors (38295172800).

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

12445954560 is an frugal number, since it uses more digits than its factorization.

12445954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 12445954560 in words is "twelve billion, four hundred forty-five million, nine hundred fifty-four thousand, five hundred sixty".