12451705478784 has 1536 divisors, whose sum is σ = 46255355596800. Its totient is φ = 3249895219200.

The previous prime is 12451705478753. The next prime is 12451705478897. The reversal of 12451705478784 is 48787450715421.

It is a happy number.

12451705478784 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 1 + 7 + 0 + 547 + 8 + 7 + 84 = 666.

12451705478784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12667044757 + ... + 12667045739.

It is an arithmetic number, because the mean of its divisors is an integer number (30114163800).

Almost surely, 2^{12451705478784} 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 12451705478784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23127677798400).

12451705478784 is an abundant number, since it is smaller than the sum of its proper divisors (33803650118016).

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

12451705478784 is a wasteful number, since it uses less digits than its factorization.

12451705478784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 12451705478784 in words is "twelve trillion, four hundred fifty-one billion, seven hundred five million, four hundred seventy-eight thousand, seven hundred eighty-four".