12563773665984 has 672 divisors, whose sum is σ = 39008621317120. Its totient is φ = 4005763227648.

The previous prime is 12563773665929. The next prime is 12563773665997. The reversal of 12563773665984 is 48956637736521.

It is a happy number.

12563773665984 is a `hidden beast` number, since 1 + 2 + 563 + 7 + 7 + 3 + 6 + 6 + 59 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14228508807 + ... + 14228509689.

Almost surely, 2^{12563773665984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12563773665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504310658560).

12563773665984 is an abundant number, since it is smaller than the sum of its proper divisors (26444847651136).

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

12563773665984 is an equidigital number, since it uses as much as digits as its factorization.

12563773665984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1317 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 12563773665984 in words is "twelve trillion, five hundred sixty-three billion, seven hundred seventy-three million, six hundred sixty-five thousand, nine hundred eighty-four".