12469945697280 has 1056 divisors, whose sum is σ = 45530867491200. Its totient is φ = 3272213790720.

The previous prime is 12469945697267. The next prime is 12469945697281. The reversal of 12469945697280 is 8279654996421.

12469945697280 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 9 + 9 + 456 + 97 + 2 + 80 = 666.

It is a super-2 number, since 2×12469945697280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12469945697199 and 12469945697208.

It is not an unprimeable number, because it can be changed into a prime (12469945697281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25397037835 + ... + 25397038325.

Almost surely, 2^{12469945697280} is an apocalyptic number.

12469945697280 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 12469945697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22765433745600).

12469945697280 is an abundant number, since it is smaller than the sum of its proper divisors (33060921793920).

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

12469945697280 is a wasteful number, since it uses less digits than its factorization.

12469945697280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 12469945697280 in words is "twelve trillion, four hundred sixty-nine billion, nine hundred forty-five million, six hundred ninety-seven thousand, two hundred eighty".