12718979245728 has 288 divisors, whose sum is σ = 44141513794560. Its totient is φ = 3395500093440.

The previous prime is 12718979245727. The next prime is 12718979245769. The reversal of 12718979245728 is 82754297981721.

12718979245728 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 89 + 7 + 92 + 457 + 2 + 8 = 666.

12718979245728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (12718979245723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1696525 + ... + 5321292.

It is an arithmetic number, because the mean of its divisors is an integer number (153269145120).

Almost surely, 2^{12718979245728} is an apocalyptic number.

12718979245728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12718979245728 is an abundant number, since it is smaller than the sum of its proper divisors (31422534548832).

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

12718979245728 is a wasteful number, since it uses less digits than its factorization.

12718979245728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017900 (or 7017889 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 72.

The spelling of 12718979245728 in words is "twelve trillion, seven hundred eighteen billion, nine hundred seventy-nine million, two hundred forty-five thousand, seven hundred twenty-eight".